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Finding the Fourth Proportional to 410,437.44, 566,428.88 and 229,149.12

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Solution

The fourth proportional to 410,437.44, 566,428.88 and 229,149.12 is: 316,239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,437.44 : 566,428.88 = 229,149.12 : x
  2. Step 2: Convert to fraction form
    410,437.44/566,428.88 = 229,149.12/x
  3. Step 3: Cross multiply
    410,437.44x = 566,428.88 × 229,149.12
  4. Step 4: Simplify right side
    410,437.44x = 129,796,679,394.59
  5. Step 5: Solve for x
    x = 129,796,679,394.59/410,437.44
  6. Step 6: Final answer
    x = 316,239.86

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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.