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Finding the Fourth Proportional to 420,781.08, 631,177.20 and 140,298.42

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Solution

The fourth proportional to 420,781.08, 631,177.20 and 140,298.42 is: 210,449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,781.08 : 631,177.20 = 140,298.42 : x
  2. Step 2: Convert to fraction form
    420,781.08/631,177.20 = 140,298.42/x
  3. Step 3: Cross multiply
    420,781.08x = 631,177.20 × 140,298.42
  4. Step 4: Simplify right side
    420,781.08x = 88,553,163,900.02
  5. Step 5: Solve for x
    x = 88,553,163,900.02/420,781.08
  6. Step 6: Final answer
    x = 210,449.49

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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.