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Finding the Fourth Proportional to 277,213.60, 414,945.60 and 217,727.20

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Solution

The fourth proportional to 277,213.60, 414,945.60 and 217,727.20 is: 325,903.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,213.60 : 414,945.60 = 217,727.20 : x
  2. Step 2: Convert to fraction form
    277,213.60/414,945.60 = 217,727.20/x
  3. Step 3: Cross multiply
    277,213.60x = 414,945.60 × 217,727.20
  4. Step 4: Simplify right side
    277,213.60x = 90,344,943,640.32
  5. Step 5: Solve for x
    x = 90,344,943,640.32/277,213.60
  6. Step 6: Final answer
    x = 325,903.72

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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.