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Finding the Fourth Proportional to 407,134.20, 610,701.30 and 197,182.20

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Solution

The fourth proportional to 407,134.20, 610,701.30 and 197,182.20 is: 295,773.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,134.20 : 610,701.30 = 197,182.20 : x
  2. Step 2: Convert to fraction form
    407,134.20/610,701.30 = 197,182.20/x
  3. Step 3: Cross multiply
    407,134.20x = 610,701.30 × 197,182.20
  4. Step 4: Simplify right side
    407,134.20x = 120,419,425,876.86
  5. Step 5: Solve for x
    x = 120,419,425,876.86/407,134.20
  6. Step 6: Final answer
    x = 295,773.30

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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.