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Finding the Fourth Proportional to 502,822.84, 693,796.26 and 282,067.46

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Solution

The fourth proportional to 502,822.84, 693,796.26 and 282,067.46 is: 389,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,822.84 : 693,796.26 = 282,067.46 : x
  2. Step 2: Convert to fraction form
    502,822.84/693,796.26 = 282,067.46/x
  3. Step 3: Cross multiply
    502,822.84x = 693,796.26 × 282,067.46
  4. Step 4: Simplify right side
    502,822.84x = 195,697,352,115.50
  5. Step 5: Solve for x
    x = 195,697,352,115.50/502,822.84
  6. Step 6: Final answer
    x = 389,197.42

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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.