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Finding the Fourth Proportional to 408,114.10, 612,171.15 and 221,490.10

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Solution

The fourth proportional to 408,114.10, 612,171.15 and 221,490.10 is: 332,235.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,114.10 : 612,171.15 = 221,490.10 : x
  2. Step 2: Convert to fraction form
    408,114.10/612,171.15 = 221,490.10/x
  3. Step 3: Cross multiply
    408,114.10x = 612,171.15 × 221,490.10
  4. Step 4: Simplify right side
    408,114.10x = 135,589,849,230.62
  5. Step 5: Solve for x
    x = 135,589,849,230.62/408,114.10
  6. Step 6: Final answer
    x = 332,235.15

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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.