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Finding the Fourth Proportional to 285,755.18, 428,599.94 and 75,409.52

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Solution

The fourth proportional to 285,755.18, 428,599.94 and 75,409.52 is: 113,105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,755.18 : 428,599.94 = 75,409.52 : x
  2. Step 2: Convert to fraction form
    285,755.18/428,599.94 = 75,409.52/x
  3. Step 3: Cross multiply
    285,755.18x = 428,599.94 × 75,409.52
  4. Step 4: Simplify right side
    285,755.18x = 32,320,513,227.38
  5. Step 5: Solve for x
    x = 32,320,513,227.38/285,755.18
  6. Step 6: Final answer
    x = 113,105.61

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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.