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Finding the Fourth Proportional to 498,697.74, 748,151.71 and 161,712.14

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Solution

The fourth proportional to 498,697.74, 748,151.71 and 161,712.14 is: 242,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,697.74 : 748,151.71 = 161,712.14 : x
  2. Step 2: Convert to fraction form
    498,697.74/748,151.71 = 161,712.14/x
  3. Step 3: Cross multiply
    498,697.74x = 748,151.71 × 161,712.14
  4. Step 4: Simplify right side
    498,697.74x = 120,985,209,923.72
  5. Step 5: Solve for x
    x = 120,985,209,923.72/498,697.74
  6. Step 6: Final answer
    x = 242,602.28

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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.