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Finding the Fourth Proportional to 277,359.69, 416,299.56 and 144,334.20

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Solution

The fourth proportional to 277,359.69, 416,299.56 and 144,334.20 is: 216,636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,359.69 : 416,299.56 = 144,334.20 : x
  2. Step 2: Convert to fraction form
    277,359.69/416,299.56 = 144,334.20/x
  3. Step 3: Cross multiply
    277,359.69x = 416,299.56 × 144,334.20
  4. Step 4: Simplify right side
    277,359.69x = 60,086,263,952.95
  5. Step 5: Solve for x
    x = 60,086,263,952.95/277,359.69
  6. Step 6: Final answer
    x = 216,636.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.