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Finding the Fourth Proportional to 416,527.92, 624,712.77 and 203,081.58

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Solution

The fourth proportional to 416,527.92, 624,712.77 and 203,081.58 is: 304,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,527.92 : 624,712.77 = 203,081.58 : x
  2. Step 2: Convert to fraction form
    416,527.92/624,712.77 = 203,081.58/x
  3. Step 3: Cross multiply
    416,527.92x = 624,712.77 × 203,081.58
  4. Step 4: Simplify right side
    416,527.92x = 126,867,656,377.78
  5. Step 5: Solve for x
    x = 126,867,656,377.78/416,527.92
  6. Step 6: Final answer
    x = 304,583.80

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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.