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Finding the Fourth Proportional to 338,381.29, 466,966.17 and 202,420.97

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Solution

The fourth proportional to 338,381.29, 466,966.17 and 202,420.97 is: 279,340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,381.29 : 466,966.17 = 202,420.97 : x
  2. Step 2: Convert to fraction form
    338,381.29/466,966.17 = 202,420.97/x
  3. Step 3: Cross multiply
    338,381.29x = 466,966.17 × 202,420.97
  4. Step 4: Simplify right side
    338,381.29x = 94,523,742,753.75
  5. Step 5: Solve for x
    x = 94,523,742,753.75/338,381.29
  6. Step 6: Final answer
    x = 279,340.93

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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.