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Finding the Fourth Proportional to 463,987.20, 695,648.70 and 179,434.20

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Solution

The fourth proportional to 463,987.20, 695,648.70 and 179,434.20 is: 269,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,987.20 : 695,648.70 = 179,434.20 : x
  2. Step 2: Convert to fraction form
    463,987.20/695,648.70 = 179,434.20/x
  3. Step 3: Cross multiply
    463,987.20x = 695,648.70 × 179,434.20
  4. Step 4: Simplify right side
    463,987.20x = 124,823,167,965.54
  5. Step 5: Solve for x
    x = 124,823,167,965.54/463,987.20
  6. Step 6: Final answer
    x = 269,022.87

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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.