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Finding the Fourth Proportional to 471,574.67, 650,773.15 and 256,714.68

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Solution

The fourth proportional to 471,574.67, 650,773.15 and 256,714.68 is: 354,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,574.67 : 650,773.15 = 256,714.68 : x
  2. Step 2: Convert to fraction form
    471,574.67/650,773.15 = 256,714.68/x
  3. Step 3: Cross multiply
    471,574.67x = 650,773.15 × 256,714.68
  4. Step 4: Simplify right side
    471,574.67x = 167,063,020,954.84
  5. Step 5: Solve for x
    x = 167,063,020,954.84/471,574.67
  6. Step 6: Final answer
    x = 354,266.32

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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.