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Finding the Fourth Proportional to 516,697.35, 713,001.96 and 287,240.68

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Solution

The fourth proportional to 516,697.35, 713,001.96 and 287,240.68 is: 396,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,697.35 : 713,001.96 = 287,240.68 : x
  2. Step 2: Convert to fraction form
    516,697.35/713,001.96 = 287,240.68/x
  3. Step 3: Cross multiply
    516,697.35x = 713,001.96 × 287,240.68
  4. Step 4: Simplify right side
    516,697.35x = 204,803,167,831.73
  5. Step 5: Solve for x
    x = 204,803,167,831.73/516,697.35
  6. Step 6: Final answer
    x = 396,369.69

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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.