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Finding the Fourth Proportional to 274,402.20, 410,801.40 and 195,670.20

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Solution

The fourth proportional to 274,402.20, 410,801.40 and 195,670.20 is: 292,933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,402.20 : 410,801.40 = 195,670.20 : x
  2. Step 2: Convert to fraction form
    274,402.20/410,801.40 = 195,670.20/x
  3. Step 3: Cross multiply
    274,402.20x = 410,801.40 × 195,670.20
  4. Step 4: Simplify right side
    274,402.20x = 80,381,592,098.28
  5. Step 5: Solve for x
    x = 80,381,592,098.28/274,402.20
  6. Step 6: Final answer
    x = 292,933.48

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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.