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Finding the Fourth Proportional to 278,889.60, 418,334.40 and 194,908.80

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Solution

The fourth proportional to 278,889.60, 418,334.40 and 194,908.80 is: 292,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,889.60 : 418,334.40 = 194,908.80 : x
  2. Step 2: Convert to fraction form
    278,889.60/418,334.40 = 194,908.80/x
  3. Step 3: Cross multiply
    278,889.60x = 418,334.40 × 194,908.80
  4. Step 4: Simplify right side
    278,889.60x = 81,537,055,902.72
  5. Step 5: Solve for x
    x = 81,537,055,902.72/278,889.60
  6. Step 6: Final answer
    x = 292,363.20

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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.