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Finding the Fourth Proportional to 502,821.88, 693,894.13 and 276,467.38

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Solution

The fourth proportional to 502,821.88, 693,894.13 and 276,467.38 is: 381,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,821.88 : 693,894.13 = 276,467.38 : x
  2. Step 2: Convert to fraction form
    502,821.88/693,894.13 = 276,467.38/x
  3. Step 3: Cross multiply
    502,821.88x = 693,894.13 × 276,467.38
  4. Step 4: Simplify right side
    502,821.88x = 191,839,089,692.58
  5. Step 5: Solve for x
    x = 191,839,089,692.58/502,821.88
  6. Step 6: Final answer
    x = 381,524.95

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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.