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Finding the Fourth Proportional to 409,635.52, 614,556.96 and 114,147.52

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Solution

The fourth proportional to 409,635.52, 614,556.96 and 114,147.52 is: 171,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,635.52 : 614,556.96 = 114,147.52 : x
  2. Step 2: Convert to fraction form
    409,635.52/614,556.96 = 114,147.52/x
  3. Step 3: Cross multiply
    409,635.52x = 614,556.96 × 114,147.52
  4. Step 4: Simplify right side
    409,635.52x = 70,150,152,882.74
  5. Step 5: Solve for x
    x = 70,150,152,882.74/409,635.52
  6. Step 6: Final answer
    x = 171,250.17

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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.