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Finding the Fourth Proportional to 482,842.60, 724,523.10 and 202,388.20

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Solution

The fourth proportional to 482,842.60, 724,523.10 and 202,388.20 is: 303,690.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,842.60 : 724,523.10 = 202,388.20 : x
  2. Step 2: Convert to fraction form
    482,842.60/724,523.10 = 202,388.20/x
  3. Step 3: Cross multiply
    482,842.60x = 724,523.10 × 202,388.20
  4. Step 4: Simplify right side
    482,842.60x = 146,634,926,067.42
  5. Step 5: Solve for x
    x = 146,634,926,067.42/482,842.60
  6. Step 6: Final answer
    x = 303,690.95

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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.