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Finding the Fourth Proportional to 416,169.66, 624,360.20 and 116,651.50

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Solution

The fourth proportional to 416,169.66, 624,360.20 and 116,651.50 is: 175,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,169.66 : 624,360.20 = 116,651.50 : x
  2. Step 2: Convert to fraction form
    416,169.66/624,360.20 = 116,651.50/x
  3. Step 3: Cross multiply
    416,169.66x = 624,360.20 × 116,651.50
  4. Step 4: Simplify right side
    416,169.66x = 72,832,553,870.30
  5. Step 5: Solve for x
    x = 72,832,553,870.30/416,169.66
  6. Step 6: Final answer
    x = 175,006.88

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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.