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Finding the Fourth Proportional to 532,881.75, 735,704.88 and 342,231.24

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Solution

The fourth proportional to 532,881.75, 735,704.88 and 342,231.24 is: 472,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,881.75 : 735,704.88 = 342,231.24 : x
  2. Step 2: Convert to fraction form
    532,881.75/735,704.88 = 342,231.24/x
  3. Step 3: Cross multiply
    532,881.75x = 735,704.88 × 342,231.24
  4. Step 4: Simplify right side
    532,881.75x = 251,781,193,356.45
  5. Step 5: Solve for x
    x = 251,781,193,356.45/532,881.75
  6. Step 6: Final answer
    x = 472,489.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.