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Finding the Fourth Proportional to 252,055.20, 378,082.80 and 217,840.80

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Solution

The fourth proportional to 252,055.20, 378,082.80 and 217,840.80 is: 326,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,055.20 : 378,082.80 = 217,840.80 : x
  2. Step 2: Convert to fraction form
    252,055.20/378,082.80 = 217,840.80/x
  3. Step 3: Cross multiply
    252,055.20x = 378,082.80 × 217,840.80
  4. Step 4: Simplify right side
    252,055.20x = 82,361,859,618.24
  5. Step 5: Solve for x
    x = 82,361,859,618.24/252,055.20
  6. Step 6: Final answer
    x = 326,761.20

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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.