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Finding the Fourth Proportional to 342,254.96, 472,122.24 and 198,999.16

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Solution

The fourth proportional to 342,254.96, 472,122.24 and 198,999.16 is: 274,508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,254.96 : 472,122.24 = 198,999.16 : x
  2. Step 2: Convert to fraction form
    342,254.96/472,122.24 = 198,999.16/x
  3. Step 3: Cross multiply
    342,254.96x = 472,122.24 × 198,999.16
  4. Step 4: Simplify right side
    342,254.96x = 93,951,929,177.32
  5. Step 5: Solve for x
    x = 93,951,929,177.32/342,254.96
  6. Step 6: Final answer
    x = 274,508.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.