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Finding the Fourth Proportional to 567,023.28, 782,493.96 and 312,373.68

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Solution

The fourth proportional to 567,023.28, 782,493.96 and 312,373.68 is: 431,076.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,023.28 : 782,493.96 = 312,373.68 : x
  2. Step 2: Convert to fraction form
    567,023.28/782,493.96 = 312,373.68/x
  3. Step 3: Cross multiply
    567,023.28x = 782,493.96 × 312,373.68
  4. Step 4: Simplify right side
    567,023.28x = 244,430,517,862.97
  5. Step 5: Solve for x
    x = 244,430,517,862.97/567,023.28
  6. Step 6: Final answer
    x = 431,076.69

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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.