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Finding the Fourth Proportional to 232,079.60, 347,730.60 and 198,642.80

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Solution

The fourth proportional to 232,079.60, 347,730.60 and 198,642.80 is: 297,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,079.60 : 347,730.60 = 198,642.80 : x
  2. Step 2: Convert to fraction form
    232,079.60/347,730.60 = 198,642.80/x
  3. Step 3: Cross multiply
    232,079.60x = 347,730.60 × 198,642.80
  4. Step 4: Simplify right side
    232,079.60x = 69,074,180,029.68
  5. Step 5: Solve for x
    x = 69,074,180,029.68/232,079.60
  6. Step 6: Final answer
    x = 297,631.42

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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.