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Finding the Fourth Proportional to 406,353.96, 609,571 and 140,079.44

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Solution

The fourth proportional to 406,353.96, 609,571 and 140,079.44 is: 210,132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,353.96 : 609,571 = 140,079.44 : x
  2. Step 2: Convert to fraction form
    406,353.96/609,571 = 140,079.44/x
  3. Step 3: Cross multiply
    406,353.96x = 609,571 × 140,079.44
  4. Step 4: Simplify right side
    406,353.96x = 85,388,364,320.24
  5. Step 5: Solve for x
    x = 85,388,364,320.24/406,353.96
  6. Step 6: Final answer
    x = 210,132.97

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Why These Related Problems?

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