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Finding the Fourth Proportional to 471,361.38, 650,490.35 and 256,513.23

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Solution

The fourth proportional to 471,361.38, 650,490.35 and 256,513.23 is: 353,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,361.38 : 650,490.35 = 256,513.23 : x
  2. Step 2: Convert to fraction form
    471,361.38/650,490.35 = 256,513.23/x
  3. Step 3: Cross multiply
    471,361.38x = 650,490.35 × 256,513.23
  4. Step 4: Simplify right side
    471,361.38x = 166,859,379,479.76
  5. Step 5: Solve for x
    x = 166,859,379,479.76/471,361.38
  6. Step 6: Final answer
    x = 353,994.59

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Half scale
Find fourth proportional to 942,722.75, 1,300,980.69 and 513,026.46
Double scale
Find fourth proportional to 471,362.38, 650,491.73 and 256,514.23
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.