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Finding the Fourth Proportional to 518,999.97, 716,217.65 and 280,535.97

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Solution

The fourth proportional to 518,999.97, 716,217.65 and 280,535.97 is: 387,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,999.97 : 716,217.65 = 280,535.97 : x
  2. Step 2: Convert to fraction form
    518,999.97/716,217.65 = 280,535.97/x
  3. Step 3: Cross multiply
    518,999.97x = 716,217.65 × 280,535.97
  4. Step 4: Simplify right side
    518,999.97x = 200,924,813,173.87
  5. Step 5: Solve for x
    x = 200,924,813,173.87/518,999.97
  6. Step 6: Final answer
    x = 387,138.39

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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.