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Finding the Fourth Proportional to 410,902.30, 567,034.26 and 229,615.72

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Solution

The fourth proportional to 410,902.30, 567,034.26 and 229,615.72 is: 316,863.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,902.30 : 567,034.26 = 229,615.72 : x
  2. Step 2: Convert to fraction form
    410,902.30/567,034.26 = 229,615.72/x
  3. Step 3: Cross multiply
    410,902.30x = 567,034.26 × 229,615.72
  4. Step 4: Simplify right side
    410,902.30x = 130,199,979,874.57
  5. Step 5: Solve for x
    x = 130,199,979,874.57/410,902.30
  6. Step 6: Final answer
    x = 316,863.59

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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.