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Finding the Fourth Proportional to 498,466.47, 747,680.25 and 166,042.47

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Solution

The fourth proportional to 498,466.47, 747,680.25 and 166,042.47 is: 249,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,466.47 : 747,680.25 = 166,042.47 : x
  2. Step 2: Convert to fraction form
    498,466.47/747,680.25 = 166,042.47/x
  3. Step 3: Cross multiply
    498,466.47x = 747,680.25 × 166,042.47
  4. Step 4: Simplify right side
    498,466.47x = 124,146,675,480.22
  5. Step 5: Solve for x
    x = 124,146,675,480.22/498,466.47
  6. Step 6: Final answer
    x = 249,057.22

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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.