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Finding the Fourth Proportional to 413,937.90, 620,387.44 and 177,001.97

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Solution

The fourth proportional to 413,937.90, 620,387.44 and 177,001.97 is: 265,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,937.90 : 620,387.44 = 177,001.97 : x
  2. Step 2: Convert to fraction form
    413,937.90/620,387.44 = 177,001.97/x
  3. Step 3: Cross multiply
    413,937.90x = 620,387.44 × 177,001.97
  4. Step 4: Simplify right side
    413,937.90x = 109,809,799,043.26
  5. Step 5: Solve for x
    x = 109,809,799,043.26/413,937.90
  6. Step 6: Final answer
    x = 265,280.85

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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.