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Finding the Fourth Proportional to 416,260.38, 624,007.85 and 149,955.78

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Solution

The fourth proportional to 416,260.38, 624,007.85 and 149,955.78 is: 224,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,260.38 : 624,007.85 = 149,955.78 : x
  2. Step 2: Convert to fraction form
    416,260.38/624,007.85 = 149,955.78/x
  3. Step 3: Cross multiply
    416,260.38x = 624,007.85 × 149,955.78
  4. Step 4: Simplify right side
    416,260.38x = 93,573,583,872.87
  5. Step 5: Solve for x
    x = 93,573,583,872.87/416,260.38
  6. Step 6: Final answer
    x = 224,795.80

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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.