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Finding the Fourth Proportional to 410,636.12, 566,671.82 and 229,350.56

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Solution

The fourth proportional to 410,636.12, 566,671.82 and 229,350.56 is: 316,500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,636.12 : 566,671.82 = 229,350.56 : x
  2. Step 2: Convert to fraction form
    410,636.12/566,671.82 = 229,350.56/x
  3. Step 3: Cross multiply
    410,636.12x = 566,671.82 × 229,350.56
  4. Step 4: Simplify right side
    410,636.12x = 129,966,499,523.15
  5. Step 5: Solve for x
    x = 129,966,499,523.15/410,636.12
  6. Step 6: Final answer
    x = 316,500.41

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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.