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Finding the Fourth Proportional to 392,216.10, 588,246.71 and 107,833.32

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Solution

The fourth proportional to 392,216.10, 588,246.71 and 107,833.32 is: 161,728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,216.10 : 588,246.71 = 107,833.32 : x
  2. Step 2: Convert to fraction form
    392,216.10/588,246.71 = 107,833.32/x
  3. Step 3: Cross multiply
    392,216.10x = 588,246.71 × 107,833.32
  4. Step 4: Simplify right side
    392,216.10x = 63,432,595,179.21
  5. Step 5: Solve for x
    x = 63,432,595,179.21/392,216.10
  6. Step 6: Final answer
    x = 161,728.69

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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.