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Finding the Fourth Proportional to 497,472.96, 746,429.28 and 260,759.04

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Solution

The fourth proportional to 497,472.96, 746,429.28 and 260,759.04 is: 391,253.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,472.96 : 746,429.28 = 260,759.04 : x
  2. Step 2: Convert to fraction form
    497,472.96/746,429.28 = 260,759.04/x
  3. Step 3: Cross multiply
    497,472.96x = 746,429.28 × 260,759.04
  4. Step 4: Simplify right side
    497,472.96x = 194,638,182,480.69
  5. Step 5: Solve for x
    x = 194,638,182,480.69/497,472.96
  6. Step 6: Final answer
    x = 391,253.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.