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Finding the Fourth Proportional to 231,632, 347,449.44 and 65,421.44

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Solution

The fourth proportional to 231,632, 347,449.44 and 65,421.44 is: 98,132.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,632 : 347,449.44 = 65,421.44 : x
  2. Step 2: Convert to fraction form
    231,632/347,449.44 = 65,421.44/x
  3. Step 3: Cross multiply
    231,632x = 347,449.44 × 65,421.44
  4. Step 4: Simplify right side
    231,632x = 22,730,642,691.99
  5. Step 5: Solve for x
    x = 22,730,642,691.99/231,632
  6. Step 6: Final answer
    x = 98,132.57

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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.