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Finding the Fourth Proportional to 498,678.17, 748,122.36 and 161,692.56

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Solution

The fourth proportional to 498,678.17, 748,122.36 and 161,692.56 is: 242,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,678.17 : 748,122.36 = 161,692.56 : x
  2. Step 2: Convert to fraction form
    498,678.17/748,122.36 = 161,692.56/x
  3. Step 3: Cross multiply
    498,678.17x = 748,122.36 × 161,692.56
  4. Step 4: Simplify right side
    498,678.17x = 120,965,815,032.57
  5. Step 5: Solve for x
    x = 120,965,815,032.57/498,678.17
  6. Step 6: Final answer
    x = 242,572.91

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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.