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Finding the Fourth Proportional to 338,407.38, 467,214.53 and 217,758.34

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Solution

The fourth proportional to 338,407.38, 467,214.53 and 217,758.34 is: 300,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,407.38 : 467,214.53 = 217,758.34 : x
  2. Step 2: Convert to fraction form
    338,407.38/467,214.53 = 217,758.34/x
  3. Step 3: Cross multiply
    338,407.38x = 467,214.53 × 217,758.34
  4. Step 4: Simplify right side
    338,407.38x = 101,739,860,476.68
  5. Step 5: Solve for x
    x = 101,739,860,476.68/338,407.38
  6. Step 6: Final answer
    x = 300,643.15

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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.