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Finding the Fourth Proportional to 410,695.12, 566,761.24 and 229,414.69

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Solution

The fourth proportional to 410,695.12, 566,761.24 and 229,414.69 is: 316,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,695.12 : 566,761.24 = 229,414.69 : x
  2. Step 2: Convert to fraction form
    410,695.12/566,761.24 = 229,414.69/x
  3. Step 3: Cross multiply
    410,695.12x = 566,761.24 × 229,414.69
  4. Step 4: Simplify right side
    410,695.12x = 130,023,355,173.84
  5. Step 5: Solve for x
    x = 130,023,355,173.84/410,695.12
  6. Step 6: Final answer
    x = 316,593.38

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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.