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Finding the Fourth Proportional to 462,013.88, 693,297.29 and 199,357.88

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Solution

The fourth proportional to 462,013.88, 693,297.29 and 199,357.88 is: 299,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,013.88 : 693,297.29 = 199,357.88 : x
  2. Step 2: Convert to fraction form
    462,013.88/693,297.29 = 199,357.88/x
  3. Step 3: Cross multiply
    462,013.88x = 693,297.29 × 199,357.88
  4. Step 4: Simplify right side
    462,013.88x = 138,214,274,976.05
  5. Step 5: Solve for x
    x = 138,214,274,976.05/462,013.88
  6. Step 6: Final answer
    x = 299,156.11

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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.