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Finding the Fourth Proportional to 498,302.49, 747,572.82 and 161,343.53

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Solution

The fourth proportional to 498,302.49, 747,572.82 and 161,343.53 is: 242,053.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,302.49 : 747,572.82 = 161,343.53 : x
  2. Step 2: Convert to fraction form
    498,302.49/747,572.82 = 161,343.53/x
  3. Step 3: Cross multiply
    498,302.49x = 747,572.82 × 161,343.53
  4. Step 4: Simplify right side
    498,302.49x = 120,616,037,710.86
  5. Step 5: Solve for x
    x = 120,616,037,710.86/498,302.49
  6. Step 6: Final answer
    x = 242,053.85

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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.