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Finding the Fourth Proportional to 398,683.44, 598,023.24 and 132,463.92

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Solution

The fourth proportional to 398,683.44, 598,023.24 and 132,463.92 is: 198,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,683.44 : 598,023.24 = 132,463.92 : x
  2. Step 2: Convert to fraction form
    398,683.44/598,023.24 = 132,463.92/x
  3. Step 3: Cross multiply
    398,683.44x = 598,023.24 × 132,463.92
  4. Step 4: Simplify right side
    398,683.44x = 79,216,502,621.50
  5. Step 5: Solve for x
    x = 79,216,502,621.50/398,683.44
  6. Step 6: Final answer
    x = 198,695.24

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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.