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Finding the Fourth Proportional to 498,302, 747,572.07 and 161,343.01

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Solution

The fourth proportional to 498,302, 747,572.07 and 161,343.01 is: 242,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,302 : 747,572.07 = 161,343.01 : x
  2. Step 2: Convert to fraction form
    498,302/747,572.07 = 161,343.01/x
  3. Step 3: Cross multiply
    498,302x = 747,572.07 × 161,343.01
  4. Step 4: Simplify right side
    498,302x = 120,615,527,965.73
  5. Step 5: Solve for x
    x = 120,615,527,965.73/498,302
  6. Step 6: Final answer
    x = 242,053.07

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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.