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Finding the Fourth Proportional to 277,807.68, 416,273.76 and 214,781.60

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Solution

The fourth proportional to 277,807.68, 416,273.76 and 214,781.60 is: 321,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,807.68 : 416,273.76 = 214,781.60 : x
  2. Step 2: Convert to fraction form
    277,807.68/416,273.76 = 214,781.60/x
  3. Step 3: Cross multiply
    277,807.68x = 416,273.76 × 214,781.60
  4. Step 4: Simplify right side
    277,807.68x = 89,407,944,210.82
  5. Step 5: Solve for x
    x = 89,407,944,210.82/277,807.68
  6. Step 6: Final answer
    x = 321,833.95

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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.