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Finding the Fourth Proportional to 513,508.14, 708,402.44 and 332,278.58

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Solution

The fourth proportional to 513,508.14, 708,402.44 and 332,278.58 is: 458,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,508.14 : 708,402.44 = 332,278.58 : x
  2. Step 2: Convert to fraction form
    513,508.14/708,402.44 = 332,278.58/x
  3. Step 3: Cross multiply
    513,508.14x = 708,402.44 × 332,278.58
  4. Step 4: Simplify right side
    513,508.14x = 235,386,951,628.33
  5. Step 5: Solve for x
    x = 235,386,951,628.33/513,508.14
  6. Step 6: Final answer
    x = 458,389.91

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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.