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Finding the Fourth Proportional to 416,828.91, 625,115.69 and 150,556.59

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Solution

The fourth proportional to 416,828.91, 625,115.69 and 150,556.59 is: 225,788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,828.91 : 625,115.69 = 150,556.59 : x
  2. Step 2: Convert to fraction form
    416,828.91/625,115.69 = 150,556.59/x
  3. Step 3: Cross multiply
    416,828.91x = 625,115.69 × 150,556.59
  4. Step 4: Simplify right side
    416,828.91x = 94,115,285,889.11
  5. Step 5: Solve for x
    x = 94,115,285,889.11/416,828.91
  6. Step 6: Final answer
    x = 225,788.77

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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.