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Finding the Fourth Proportional to 406,558.69, 609,934.92 and 140,321.50

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Solution

The fourth proportional to 406,558.69, 609,934.92 and 140,321.50 is: 210,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,558.69 : 609,934.92 = 140,321.50 : x
  2. Step 2: Convert to fraction form
    406,558.69/609,934.92 = 140,321.50/x
  3. Step 3: Cross multiply
    406,558.69x = 609,934.92 × 140,321.50
  4. Step 4: Simplify right side
    406,558.69x = 85,586,982,876.78
  5. Step 5: Solve for x
    x = 85,586,982,876.78/406,558.69
  6. Step 6: Final answer
    x = 210,515.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.