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Finding the Fourth Proportional to 392,532.42, 588,404.94 and 182,317.98

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Solution

The fourth proportional to 392,532.42, 588,404.94 and 182,317.98 is: 273,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,532.42 : 588,404.94 = 182,317.98 : x
  2. Step 2: Convert to fraction form
    392,532.42/588,404.94 = 182,317.98/x
  3. Step 3: Cross multiply
    392,532.42x = 588,404.94 × 182,317.98
  4. Step 4: Simplify right side
    392,532.42x = 107,276,800,082.82
  5. Step 5: Solve for x
    x = 107,276,800,082.82/392,532.42
  6. Step 6: Final answer
    x = 273,294.11

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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.