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Finding the Fourth Proportional to 410,538.78, 566,538.17 and 229,253.90

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Solution

The fourth proportional to 410,538.78, 566,538.17 and 229,253.90 is: 316,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,538.78 : 566,538.17 = 229,253.90 : x
  2. Step 2: Convert to fraction form
    410,538.78/566,538.17 = 229,253.90/x
  3. Step 3: Cross multiply
    410,538.78x = 566,538.17 × 229,253.90
  4. Step 4: Simplify right side
    410,538.78x = 129,881,080,992.40
  5. Step 5: Solve for x
    x = 129,881,080,992.40/410,538.78
  6. Step 6: Final answer
    x = 316,367.39

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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.