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Finding the Fourth Proportional to 513,236.25, 708,251.31 and 283,789.53

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Solution

The fourth proportional to 513,236.25, 708,251.31 and 283,789.53 is: 391,621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,236.25 : 708,251.31 = 283,789.53 : x
  2. Step 2: Convert to fraction form
    513,236.25/708,251.31 = 283,789.53/x
  3. Step 3: Cross multiply
    513,236.25x = 708,251.31 × 283,789.53
  4. Step 4: Simplify right side
    513,236.25x = 200,994,306,386.78
  5. Step 5: Solve for x
    x = 200,994,306,386.78/513,236.25
  6. Step 6: Final answer
    x = 391,621.41

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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.