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Finding the Fourth Proportional to 416,830.92, 625,118.68 and 150,558.60

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Solution

The fourth proportional to 416,830.92, 625,118.68 and 150,558.60 is: 225,791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,830.92 : 625,118.68 = 150,558.60 : x
  2. Step 2: Convert to fraction form
    416,830.92/625,118.68 = 150,558.60/x
  3. Step 3: Cross multiply
    416,830.92x = 625,118.68 × 150,558.60
  4. Step 4: Simplify right side
    416,830.92x = 94,116,993,294.65
  5. Step 5: Solve for x
    x = 94,116,993,294.65/416,830.92
  6. Step 6: Final answer
    x = 225,791.77

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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.