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Finding the Fourth Proportional to 416,358.50, 624,555.03 and 120,870.50

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Solution

The fourth proportional to 416,358.50, 624,555.03 and 120,870.50 is: 181,310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,358.50 : 624,555.03 = 120,870.50 : x
  2. Step 2: Convert to fraction form
    416,358.50/624,555.03 = 120,870.50/x
  3. Step 3: Cross multiply
    416,358.50x = 624,555.03 × 120,870.50
  4. Step 4: Simplify right side
    416,358.50x = 75,490,278,753.62
  5. Step 5: Solve for x
    x = 75,490,278,753.62/416,358.50
  6. Step 6: Final answer
    x = 181,310.77

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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.