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Finding the Fourth Proportional to 392,099.12, 587,911.52 and 175,918.24

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Solution

The fourth proportional to 392,099.12, 587,911.52 and 175,918.24 is: 263,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,099.12 : 587,911.52 = 175,918.24 : x
  2. Step 2: Convert to fraction form
    392,099.12/587,911.52 = 175,918.24/x
  3. Step 3: Cross multiply
    392,099.12x = 587,911.52 × 175,918.24
  4. Step 4: Simplify right side
    392,099.12x = 103,424,359,874.13
  5. Step 5: Solve for x
    x = 103,424,359,874.13/392,099.12
  6. Step 6: Final answer
    x = 263,770.96

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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.