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Finding the Fourth Proportional to 498,575.22, 747,843.21 and 166,151.22

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Solution

The fourth proportional to 498,575.22, 747,843.21 and 166,151.22 is: 249,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,575.22 : 747,843.21 = 166,151.22 : x
  2. Step 2: Convert to fraction form
    498,575.22/747,843.21 = 166,151.22/x
  3. Step 3: Cross multiply
    498,575.22x = 747,843.21 × 166,151.22
  4. Step 4: Simplify right side
    498,575.22x = 124,255,061,710.22
  5. Step 5: Solve for x
    x = 124,255,061,710.22/498,575.22
  6. Step 6: Final answer
    x = 249,220.29

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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.