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Finding the Fourth Proportional to 516,661.92, 712,971.15 and 287,218.68

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Solution

The fourth proportional to 516,661.92, 712,971.15 and 287,218.68 is: 396,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,661.92 : 712,971.15 = 287,218.68 : x
  2. Step 2: Convert to fraction form
    516,661.92/712,971.15 = 287,218.68/x
  3. Step 3: Cross multiply
    516,661.92x = 712,971.15 × 287,218.68
  4. Step 4: Simplify right side
    516,661.92x = 204,778,632,581.08
  5. Step 5: Solve for x
    x = 204,778,632,581.08/516,661.92
  6. Step 6: Final answer
    x = 396,349.38

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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.