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Finding the Fourth Proportional to 518,086.97, 709,781.62 and 498,671.54

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Solution

The fourth proportional to 518,086.97, 709,781.62 and 498,671.54 is: 683,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,086.97 : 709,781.62 = 498,671.54 : x
  2. Step 2: Convert to fraction form
    518,086.97/709,781.62 = 498,671.54/x
  3. Step 3: Cross multiply
    518,086.97x = 709,781.62 × 498,671.54
  4. Step 4: Simplify right side
    518,086.97x = 353,947,887,466.83
  5. Step 5: Solve for x
    x = 353,947,887,466.83/518,086.97
  6. Step 6: Final answer
    x = 683,182.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.