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Finding the Fourth Proportional to 498,867.60, 748,398.60 and 199,297.20

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Solution

The fourth proportional to 498,867.60, 748,398.60 and 199,297.20 is: 298,984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,867.60 : 748,398.60 = 199,297.20 : x
  2. Step 2: Convert to fraction form
    498,867.60/748,398.60 = 199,297.20/x
  3. Step 3: Cross multiply
    498,867.60x = 748,398.60 × 199,297.20
  4. Step 4: Simplify right side
    498,867.60x = 149,153,745,463.92
  5. Step 5: Solve for x
    x = 149,153,745,463.92/498,867.60
  6. Step 6: Final answer
    x = 298,984.63

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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.