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Finding the Fourth Proportional to 392,213.44, 588,082.56 and 176,032.64

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Solution

The fourth proportional to 392,213.44, 588,082.56 and 176,032.64 is: 263,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,213.44 : 588,082.56 = 176,032.64 : x
  2. Step 2: Convert to fraction form
    392,213.44/588,082.56 = 176,032.64/x
  3. Step 3: Cross multiply
    392,213.44x = 588,082.56 × 176,032.64
  4. Step 4: Simplify right side
    392,213.44x = 103,521,725,574.76
  5. Step 5: Solve for x
    x = 103,521,725,574.76/392,213.44
  6. Step 6: Final answer
    x = 263,942.32

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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.