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Finding the Fourth Proportional to 413,465.97, 619,805.28 and 132,786.39

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Solution

The fourth proportional to 413,465.97, 619,805.28 and 132,786.39 is: 199,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,465.97 : 619,805.28 = 132,786.39 : x
  2. Step 2: Convert to fraction form
    413,465.97/619,805.28 = 132,786.39/x
  3. Step 3: Cross multiply
    413,465.97x = 619,805.28 × 132,786.39
  4. Step 4: Simplify right side
    413,465.97x = 82,301,705,634.14
  5. Step 5: Solve for x
    x = 82,301,705,634.14/413,465.97
  6. Step 6: Final answer
    x = 199,053.15

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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.