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Finding the Fourth Proportional to 498,200.66, 747,419.56 and 161,241.31

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Solution

The fourth proportional to 498,200.66, 747,419.56 and 161,241.31 is: 241,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,200.66 : 747,419.56 = 161,241.31 : x
  2. Step 2: Convert to fraction form
    498,200.66/747,419.56 = 161,241.31/x
  3. Step 3: Cross multiply
    498,200.66x = 747,419.56 × 161,241.31
  4. Step 4: Simplify right side
    498,200.66x = 120,514,911,689.98
  5. Step 5: Solve for x
    x = 120,514,911,689.98/498,200.66
  6. Step 6: Final answer
    x = 241,900.35

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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.