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Finding the Fourth Proportional to 502,302.24, 693,174.24 and 275,942.88

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Solution

The fourth proportional to 502,302.24, 693,174.24 and 275,942.88 is: 380,799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,302.24 : 693,174.24 = 275,942.88 : x
  2. Step 2: Convert to fraction form
    502,302.24/693,174.24 = 275,942.88/x
  3. Step 3: Cross multiply
    502,302.24x = 693,174.24 × 275,942.88
  4. Step 4: Simplify right side
    502,302.24x = 191,276,496,127.41
  5. Step 5: Solve for x
    x = 191,276,496,127.41/502,302.24
  6. Step 6: Final answer
    x = 380,799.61

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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.