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Finding the Fourth Proportional to 277,601.25, 416,401.82 and 151,347.66

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Solution

The fourth proportional to 277,601.25, 416,401.82 and 151,347.66 is: 227,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,601.25 : 416,401.82 = 151,347.66 : x
  2. Step 2: Convert to fraction form
    277,601.25/416,401.82 = 151,347.66/x
  3. Step 3: Cross multiply
    277,601.25x = 416,401.82 × 151,347.66
  4. Step 4: Simplify right side
    277,601.25x = 63,021,441,076.74
  5. Step 5: Solve for x
    x = 63,021,441,076.74/277,601.25
  6. Step 6: Final answer
    x = 227,021.46

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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.