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Finding the Fourth Proportional to 410,658.69, 566,702.97 and 229,373.27

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Solution

The fourth proportional to 410,658.69, 566,702.97 and 229,373.27 is: 316,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,658.69 : 566,702.97 = 229,373.27 : x
  2. Step 2: Convert to fraction form
    410,658.69/566,702.97 = 229,373.27/x
  3. Step 3: Cross multiply
    410,658.69x = 566,702.97 × 229,373.27
  4. Step 4: Simplify right side
    410,658.69x = 129,986,511,779.08
  5. Step 5: Solve for x
    x = 129,986,511,779.08/410,658.69
  6. Step 6: Final answer
    x = 316,531.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.