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Finding the Fourth Proportional to 227,524.80, 341,943.30 and 198,656.40

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Solution

The fourth proportional to 227,524.80, 341,943.30 and 198,656.40 is: 298,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,524.80 : 341,943.30 = 198,656.40 : x
  2. Step 2: Convert to fraction form
    227,524.80/341,943.30 = 198,656.40/x
  3. Step 3: Cross multiply
    227,524.80x = 341,943.30 × 198,656.40
  4. Step 4: Simplify right side
    227,524.80x = 67,929,224,982.12
  5. Step 5: Solve for x
    x = 67,929,224,982.12/227,524.80
  6. Step 6: Final answer
    x = 298,557.45

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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.