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Finding the Fourth Proportional to 526,411.71, 726,446.07 and 284,694.57

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Solution

The fourth proportional to 526,411.71, 726,446.07 and 284,694.57 is: 392,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,411.71 : 726,446.07 = 284,694.57 : x
  2. Step 2: Convert to fraction form
    526,411.71/726,446.07 = 284,694.57/x
  3. Step 3: Cross multiply
    526,411.71x = 726,446.07 × 284,694.57
  4. Step 4: Simplify right side
    526,411.71x = 206,815,251,526.84
  5. Step 5: Solve for x
    x = 206,815,251,526.84/526,411.71
  6. Step 6: Final answer
    x = 392,877.38

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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.