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Finding the Fourth Proportional to 277,989.20, 416,983.80 and 256,337.90

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Solution

The fourth proportional to 277,989.20, 416,983.80 and 256,337.90 is: 384,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,989.20 : 416,983.80 = 256,337.90 : x
  2. Step 2: Convert to fraction form
    277,989.20/416,983.80 = 256,337.90/x
  3. Step 3: Cross multiply
    277,989.20x = 416,983.80 × 256,337.90
  4. Step 4: Simplify right side
    277,989.20x = 106,888,751,626.02
  5. Step 5: Solve for x
    x = 106,888,751,626.02/277,989.20
  6. Step 6: Final answer
    x = 384,506.85

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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.