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Finding the Fourth Proportional to 498,758.13, 748,242.32 and 161,772.56

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Solution

The fourth proportional to 498,758.13, 748,242.32 and 161,772.56 is: 242,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,758.13 : 748,242.32 = 161,772.56 : x
  2. Step 2: Convert to fraction form
    498,758.13/748,242.32 = 161,772.56/x
  3. Step 3: Cross multiply
    498,758.13x = 748,242.32 × 161,772.56
  4. Step 4: Simplify right side
    498,758.13x = 121,045,077,881.78
  5. Step 5: Solve for x
    x = 121,045,077,881.78/498,758.13
  6. Step 6: Final answer
    x = 242,692.94

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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.