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Finding the Fourth Proportional to 416,121.30, 624,034.38 and 149,810.34

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Solution

The fourth proportional to 416,121.30, 624,034.38 and 149,810.34 is: 224,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,121.30 : 624,034.38 = 149,810.34 : x
  2. Step 2: Convert to fraction form
    416,121.30/624,034.38 = 149,810.34/x
  3. Step 3: Cross multiply
    416,121.30x = 624,034.38 × 149,810.34
  4. Step 4: Simplify right side
    416,121.30x = 93,486,802,639.49
  5. Step 5: Solve for x
    x = 93,486,802,639.49/416,121.30
  6. Step 6: Final answer
    x = 224,662.38

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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.