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Finding the Fourth Proportional to 416,534.43, 624,672.47 and 150,260.37

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Solution

The fourth proportional to 416,534.43, 624,672.47 and 150,260.37 is: 225,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,534.43 : 624,672.47 = 150,260.37 : x
  2. Step 2: Convert to fraction form
    416,534.43/624,672.47 = 150,260.37/x
  3. Step 3: Cross multiply
    416,534.43x = 624,672.47 × 150,260.37
  4. Step 4: Simplify right side
    416,534.43x = 93,863,515,719.71
  5. Step 5: Solve for x
    x = 93,863,515,719.71/416,534.43
  6. Step 6: Final answer
    x = 225,343.95

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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.