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Finding the Fourth Proportional to 416,177.40, 624,266.10 and 149,946.60

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Solution

The fourth proportional to 416,177.40, 624,266.10 and 149,946.60 is: 224,919.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,177.40 : 624,266.10 = 149,946.60 : x
  2. Step 2: Convert to fraction form
    416,177.40/624,266.10 = 149,946.60/x
  3. Step 3: Cross multiply
    416,177.40x = 624,266.10 × 149,946.60
  4. Step 4: Simplify right side
    416,177.40x = 93,606,579,190.26
  5. Step 5: Solve for x
    x = 93,606,579,190.26/416,177.40
  6. Step 6: Final answer
    x = 224,919.90

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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.