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Finding the Fourth Proportional to 277,659.57, 416,489.34 and 67,297.50

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Solution

The fourth proportional to 277,659.57, 416,489.34 and 67,297.50 is: 100,946.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,659.57 : 416,489.34 = 67,297.50 : x
  2. Step 2: Convert to fraction form
    277,659.57/416,489.34 = 67,297.50/x
  3. Step 3: Cross multiply
    277,659.57x = 416,489.34 × 67,297.50
  4. Step 4: Simplify right side
    277,659.57x = 28,028,691,358.65
  5. Step 5: Solve for x
    x = 28,028,691,358.65/277,659.57
  6. Step 6: Final answer
    x = 100,946.25

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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.