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Finding the Fourth Proportional to 499,356.26, 748,878.86 and 166,854.50

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Solution

The fourth proportional to 499,356.26, 748,878.86 and 166,854.50 is: 250,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,356.26 : 748,878.86 = 166,854.50 : x
  2. Step 2: Convert to fraction form
    499,356.26/748,878.86 = 166,854.50/x
  3. Step 3: Cross multiply
    499,356.26x = 748,878.86 × 166,854.50
  4. Step 4: Simplify right side
    499,356.26x = 124,953,807,745.87
  5. Step 5: Solve for x
    x = 124,953,807,745.87/499,356.26
  6. Step 6: Final answer
    x = 250,229.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.