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Finding the Fourth Proportional to 698,721.12, 964,117.35 and 392,757.12

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Solution

The fourth proportional to 698,721.12, 964,117.35 and 392,757.12 is: 541,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,721.12 : 964,117.35 = 392,757.12 : x
  2. Step 2: Convert to fraction form
    698,721.12/964,117.35 = 392,757.12/x
  3. Step 3: Cross multiply
    698,721.12x = 964,117.35 × 392,757.12
  4. Step 4: Simplify right side
    698,721.12x = 378,663,953,728.03
  5. Step 5: Solve for x
    x = 378,663,953,728.03/698,721.12
  6. Step 6: Final answer
    x = 541,938.61

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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.