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Finding the Fourth Proportional to 502,297.88, 693,171.34 and 275,957.96

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Solution

The fourth proportional to 502,297.88, 693,171.34 and 275,957.96 is: 380,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,297.88 : 693,171.34 = 275,957.96 : x
  2. Step 2: Convert to fraction form
    502,297.88/693,171.34 = 275,957.96/x
  3. Step 3: Cross multiply
    502,297.88x = 693,171.34 × 275,957.96
  4. Step 4: Simplify right side
    502,297.88x = 191,286,144,761.12
  5. Step 5: Solve for x
    x = 191,286,144,761.12/502,297.88
  6. Step 6: Final answer
    x = 380,822.13

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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.