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Finding the Fourth Proportional to 416,561.73, 624,713.40 and 150,287.64

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Solution

The fourth proportional to 416,561.73, 624,713.40 and 150,287.64 is: 225,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,561.73 : 624,713.40 = 150,287.64 : x
  2. Step 2: Convert to fraction form
    416,561.73/624,713.40 = 150,287.64/x
  3. Step 3: Cross multiply
    416,561.73x = 624,713.40 × 150,287.64
  4. Step 4: Simplify right side
    416,561.73x = 93,886,702,562.38
  5. Step 5: Solve for x
    x = 93,886,702,562.38/416,561.73
  6. Step 6: Final answer
    x = 225,384.85

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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.