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Finding the Fourth Proportional to 410,639.38, 566,676.41 and 229,353.89

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Solution

The fourth proportional to 410,639.38, 566,676.41 and 229,353.89 is: 316,505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,639.38 : 566,676.41 = 229,353.89 : x
  2. Step 2: Convert to fraction form
    410,639.38/566,676.41 = 229,353.89/x
  3. Step 3: Cross multiply
    410,639.38x = 566,676.41 × 229,353.89
  4. Step 4: Simplify right side
    410,639.38x = 129,969,435,024.58
  5. Step 5: Solve for x
    x = 129,969,435,024.58/410,639.38
  6. Step 6: Final answer
    x = 316,505.05

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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.