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Finding the Fourth Proportional to 467,641.56, 645,306.30 and 263,742.60

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Solution

The fourth proportional to 467,641.56, 645,306.30 and 263,742.60 is: 363,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,641.56 : 645,306.30 = 263,742.60 : x
  2. Step 2: Convert to fraction form
    467,641.56/645,306.30 = 263,742.60/x
  3. Step 3: Cross multiply
    467,641.56x = 645,306.30 × 263,742.60
  4. Step 4: Simplify right side
    467,641.56x = 170,194,761,358.38
  5. Step 5: Solve for x
    x = 170,194,761,358.38/467,641.56
  6. Step 6: Final answer
    x = 363,942.76

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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.