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Finding the Fourth Proportional to 416,180, 624,122.40 and 149,869.04

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Solution

The fourth proportional to 416,180, 624,122.40 and 149,869.04 is: 224,750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,180 : 624,122.40 = 149,869.04 : x
  2. Step 2: Convert to fraction form
    416,180/624,122.40 = 149,869.04/x
  3. Step 3: Cross multiply
    416,180x = 624,122.40 × 149,869.04
  4. Step 4: Simplify right side
    416,180x = 93,536,624,930.50
  5. Step 5: Solve for x
    x = 93,536,624,930.50/416,180
  6. Step 6: Final answer
    x = 224,750.41

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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.