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Finding the Fourth Proportional to 538,720.20, 743,269.14 and 312,320.52

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Solution

The fourth proportional to 538,720.20, 743,269.14 and 312,320.52 is: 430,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,720.20 : 743,269.14 = 312,320.52 : x
  2. Step 2: Convert to fraction form
    538,720.20/743,269.14 = 312,320.52/x
  3. Step 3: Cross multiply
    538,720.20x = 743,269.14 × 312,320.52
  4. Step 4: Simplify right side
    538,720.20x = 232,138,204,304.75
  5. Step 5: Solve for x
    x = 232,138,204,304.75/538,720.20
  6. Step 6: Final answer
    x = 430,906.81

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