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Finding the Fourth Proportional to 498,608.55, 747,918.90 and 161,646.53

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Solution

The fourth proportional to 498,608.55, 747,918.90 and 161,646.53 is: 242,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,608.55 : 747,918.90 = 161,646.53 : x
  2. Step 2: Convert to fraction form
    498,608.55/747,918.90 = 161,646.53/x
  3. Step 3: Cross multiply
    498,608.55x = 747,918.90 × 161,646.53
  4. Step 4: Simplify right side
    498,608.55x = 120,898,491,166.82
  5. Step 5: Solve for x
    x = 120,898,491,166.82/498,608.55
  6. Step 6: Final answer
    x = 242,471.76

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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.