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Finding the Fourth Proportional to 416,829.16, 625,116.06 and 150,556.84

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Solution

The fourth proportional to 416,829.16, 625,116.06 and 150,556.84 is: 225,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,829.16 : 625,116.06 = 150,556.84 : x
  2. Step 2: Convert to fraction form
    416,829.16/625,116.06 = 150,556.84/x
  3. Step 3: Cross multiply
    416,829.16x = 625,116.06 × 150,556.84
  4. Step 4: Simplify right side
    416,829.16x = 94,115,498,626.85
  5. Step 5: Solve for x
    x = 94,115,498,626.85/416,829.16
  6. Step 6: Final answer
    x = 225,789.14

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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.