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Finding the Fourth Proportional to 277,589.20, 416,286.60 and 144,425.20

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Solution

The fourth proportional to 277,589.20, 416,286.60 and 144,425.20 is: 216,587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,589.20 : 416,286.60 = 144,425.20 : x
  2. Step 2: Convert to fraction form
    277,589.20/416,286.60 = 144,425.20/x
  3. Step 3: Cross multiply
    277,589.20x = 416,286.60 × 144,425.20
  4. Step 4: Simplify right side
    277,589.20x = 60,122,275,462.32
  5. Step 5: Solve for x
    x = 60,122,275,462.32/277,589.20
  6. Step 6: Final answer
    x = 216,587.23

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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.