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Finding the Fourth Proportional to 416,007.74, 624,092.52 and 159,821.64

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Solution

The fourth proportional to 416,007.74, 624,092.52 and 159,821.64 is: 239,763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,007.74 : 624,092.52 = 159,821.64 : x
  2. Step 2: Convert to fraction form
    416,007.74/624,092.52 = 159,821.64/x
  3. Step 3: Cross multiply
    416,007.74x = 624,092.52 × 159,821.64
  4. Step 4: Simplify right side
    416,007.74x = 99,743,490,058.13
  5. Step 5: Solve for x
    x = 99,743,490,058.13/416,007.74
  6. Step 6: Final answer
    x = 239,763.54

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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.