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Finding the Fourth Proportional to 498,533.92, 747,644.03 and 161,496.38

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Solution

The fourth proportional to 498,533.92, 747,644.03 and 161,496.38 is: 242,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,533.92 : 747,644.03 = 161,496.38 : x
  2. Step 2: Convert to fraction form
    498,533.92/747,644.03 = 161,496.38/x
  3. Step 3: Cross multiply
    498,533.92x = 747,644.03 × 161,496.38
  4. Step 4: Simplify right side
    498,533.92x = 120,741,804,373.61
  5. Step 5: Solve for x
    x = 120,741,804,373.61/498,533.92
  6. Step 6: Final answer
    x = 242,193.76

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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.