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Finding the Fourth Proportional to 277,600.25, 416,400.32 and 151,346.66

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Solution

The fourth proportional to 277,600.25, 416,400.32 and 151,346.66 is: 227,019.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,600.25 : 416,400.32 = 151,346.66 : x
  2. Step 2: Convert to fraction form
    277,600.25/416,400.32 = 151,346.66/x
  3. Step 3: Cross multiply
    277,600.25x = 416,400.32 × 151,346.66
  4. Step 4: Simplify right side
    277,600.25x = 63,020,799,074.30
  5. Step 5: Solve for x
    x = 63,020,799,074.30/277,600.25
  6. Step 6: Final answer
    x = 227,019.97

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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.