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Finding the Fourth Proportional to 418,007.20, 627,010.80 and 137,456.80

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Solution

The fourth proportional to 418,007.20, 627,010.80 and 137,456.80 is: 206,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,007.20 : 627,010.80 = 137,456.80 : x
  2. Step 2: Convert to fraction form
    418,007.20/627,010.80 = 137,456.80/x
  3. Step 3: Cross multiply
    418,007.20x = 627,010.80 × 137,456.80
  4. Step 4: Simplify right side
    418,007.20x = 86,186,898,133.44
  5. Step 5: Solve for x
    x = 86,186,898,133.44/418,007.20
  6. Step 6: Final answer
    x = 206,185.20

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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.