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Finding the Fourth Proportional to 313,221.66, 432,031.80 and 199,993.38

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Solution

The fourth proportional to 313,221.66, 432,031.80 and 199,993.38 is: 275,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,221.66 : 432,031.80 = 199,993.38 : x
  2. Step 2: Convert to fraction form
    313,221.66/432,031.80 = 199,993.38/x
  3. Step 3: Cross multiply
    313,221.66x = 432,031.80 × 199,993.38
  4. Step 4: Simplify right side
    313,221.66x = 86,403,499,949.48
  5. Step 5: Solve for x
    x = 86,403,499,949.48/313,221.66
  6. Step 6: Final answer
    x = 275,854.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.