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Finding the Fourth Proportional to 372,964.64, 514,691.24 and 203,198.76

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Solution

The fourth proportional to 372,964.64, 514,691.24 and 203,198.76 is: 280,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,964.64 : 514,691.24 = 203,198.76 : x
  2. Step 2: Convert to fraction form
    372,964.64/514,691.24 = 203,198.76/x
  3. Step 3: Cross multiply
    372,964.64x = 514,691.24 × 203,198.76
  4. Step 4: Simplify right side
    372,964.64x = 104,584,621,750.86
  5. Step 5: Solve for x
    x = 104,584,621,750.86/372,964.64
  6. Step 6: Final answer
    x = 280,414.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.