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Finding the Fourth Proportional to 410,625.42, 566,651.46 and 229,332.03

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Solution

The fourth proportional to 410,625.42, 566,651.46 and 229,332.03 is: 316,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,625.42 : 566,651.46 = 229,332.03 : x
  2. Step 2: Convert to fraction form
    410,625.42/566,651.46 = 229,332.03/x
  3. Step 3: Cross multiply
    410,625.42x = 566,651.46 × 229,332.03
  4. Step 4: Simplify right side
    410,625.42x = 129,951,329,624.26
  5. Step 5: Solve for x
    x = 129,951,329,624.26/410,625.42
  6. Step 6: Final answer
    x = 316,471.71

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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.