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Finding the Fourth Proportional to 319,451.20, 478,773.60 and 161,723.20

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Solution

The fourth proportional to 319,451.20, 478,773.60 and 161,723.20 is: 242,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,451.20 : 478,773.60 = 161,723.20 : x
  2. Step 2: Convert to fraction form
    319,451.20/478,773.60 = 161,723.20/x
  3. Step 3: Cross multiply
    319,451.20x = 478,773.60 × 161,723.20
  4. Step 4: Simplify right side
    319,451.20x = 77,428,798,667.52
  5. Step 5: Solve for x
    x = 77,428,798,667.52/319,451.20
  6. Step 6: Final answer
    x = 242,380.68

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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.