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Finding the Fourth Proportional to 277,659.20, 416,683.20 and 120,000.80

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Solution

The fourth proportional to 277,659.20, 416,683.20 and 120,000.80 is: 180,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,659.20 : 416,683.20 = 120,000.80 : x
  2. Step 2: Convert to fraction form
    277,659.20/416,683.20 = 120,000.80/x
  3. Step 3: Cross multiply
    277,659.20x = 416,683.20 × 120,000.80
  4. Step 4: Simplify right side
    277,659.20x = 50,002,317,346.56
  5. Step 5: Solve for x
    x = 50,002,317,346.56/277,659.20
  6. Step 6: Final answer
    x = 180,085.22

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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.