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Finding the Fourth Proportional to 416,334.96, 624,431.40 and 150,042.48

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Solution

The fourth proportional to 416,334.96, 624,431.40 and 150,042.48 is: 225,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,334.96 : 624,431.40 = 150,042.48 : x
  2. Step 2: Convert to fraction form
    416,334.96/624,431.40 = 150,042.48/x
  3. Step 3: Cross multiply
    416,334.96x = 624,431.40 × 150,042.48
  4. Step 4: Simplify right side
    416,334.96x = 93,691,235,845.87
  5. Step 5: Solve for x
    x = 93,691,235,845.87/416,334.96
  6. Step 6: Final answer
    x = 225,038.12

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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.