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Finding the Fourth Proportional to 483,279.78, 724,641.87 and 199,166.48

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Solution

The fourth proportional to 483,279.78, 724,641.87 and 199,166.48 is: 298,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,279.78 : 724,641.87 = 199,166.48 : x
  2. Step 2: Convert to fraction form
    483,279.78/724,641.87 = 199,166.48/x
  3. Step 3: Cross multiply
    483,279.78x = 724,641.87 × 199,166.48
  4. Step 4: Simplify right side
    483,279.78x = 144,324,366,885.31
  5. Step 5: Solve for x
    x = 144,324,366,885.31/483,279.78
  6. Step 6: Final answer
    x = 298,635.23

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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.