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Finding the Fourth Proportional to 392,215.44, 588,085.56 and 176,034.64

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Solution

The fourth proportional to 392,215.44, 588,085.56 and 176,034.64 is: 263,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,215.44 : 588,085.56 = 176,034.64 : x
  2. Step 2: Convert to fraction form
    392,215.44/588,085.56 = 176,034.64/x
  3. Step 3: Cross multiply
    392,215.44x = 588,085.56 × 176,034.64
  4. Step 4: Simplify right side
    392,215.44x = 103,523,429,843.80
  5. Step 5: Solve for x
    x = 103,523,429,843.80/392,215.44
  6. Step 6: Final answer
    x = 263,945.32

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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.