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Finding the Fourth Proportional to 274,647.20, 411,970.80 and 199,414.40

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Solution

The fourth proportional to 274,647.20, 411,970.80 and 199,414.40 is: 299,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,647.20 : 411,970.80 = 199,414.40 : x
  2. Step 2: Convert to fraction form
    274,647.20/411,970.80 = 199,414.40/x
  3. Step 3: Cross multiply
    274,647.20x = 411,970.80 × 199,414.40
  4. Step 4: Simplify right side
    274,647.20x = 82,152,909,899.52
  5. Step 5: Solve for x
    x = 82,152,909,899.52/274,647.20
  6. Step 6: Final answer
    x = 299,121.60

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1.5x scale

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.