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Finding the Fourth Proportional to 416,005.74, 624,089.52 and 159,819.65

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Solution

The fourth proportional to 416,005.74, 624,089.52 and 159,819.65 is: 239,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,005.74 : 624,089.52 = 159,819.65 : x
  2. Step 2: Convert to fraction form
    416,005.74/624,089.52 = 159,819.65/x
  3. Step 3: Cross multiply
    416,005.74x = 624,089.52 × 159,819.65
  4. Step 4: Simplify right side
    416,005.74x = 99,741,765,534.62
  5. Step 5: Solve for x
    x = 99,741,765,534.62/416,005.74
  6. Step 6: Final answer
    x = 239,760.55

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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.