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Finding the Fourth Proportional to 410,468.76, 566,441.50 and 229,183.77

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Solution

The fourth proportional to 410,468.76, 566,441.50 and 229,183.77 is: 316,270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,468.76 : 566,441.50 = 229,183.77 : x
  2. Step 2: Convert to fraction form
    410,468.76/566,441.50 = 229,183.77/x
  3. Step 3: Cross multiply
    410,468.76x = 566,441.50 × 229,183.77
  4. Step 4: Simplify right side
    410,468.76x = 129,819,198,454.46
  5. Step 5: Solve for x
    x = 129,819,198,454.46/410,468.76
  6. Step 6: Final answer
    x = 316,270.59

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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.