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Finding the Fourth Proportional to 502,605.71, 693,599.15 and 273,163.49

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Solution

The fourth proportional to 502,605.71, 693,599.15 and 273,163.49 is: 376,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,605.71 : 693,599.15 = 273,163.49 : x
  2. Step 2: Convert to fraction form
    502,605.71/693,599.15 = 273,163.49/x
  3. Step 3: Cross multiply
    502,605.71x = 693,599.15 × 273,163.49
  4. Step 4: Simplify right side
    502,605.71x = 189,465,964,290.94
  5. Step 5: Solve for x
    x = 189,465,964,290.94/502,605.71
  6. Step 6: Final answer
    x = 376,967.39

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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.