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Finding the Fourth Proportional to 526,428.58, 726,471.43 and 284,711.15

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Solution

The fourth proportional to 526,428.58, 726,471.43 and 284,711.15 is: 392,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,428.58 : 726,471.43 = 284,711.15 : x
  2. Step 2: Convert to fraction form
    526,428.58/726,471.43 = 284,711.15/x
  3. Step 3: Cross multiply
    526,428.58x = 726,471.43 × 284,711.15
  4. Step 4: Simplify right side
    526,428.58x = 206,834,516,277.45
  5. Step 5: Solve for x
    x = 206,834,516,277.45/526,428.58
  6. Step 6: Final answer
    x = 392,901.38

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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.