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Finding the Fourth Proportional to 502,233.84, 693,083.16 and 275,893.92

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Solution

The fourth proportional to 502,233.84, 693,083.16 and 275,893.92 is: 380,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,233.84 : 693,083.16 = 275,893.92 : x
  2. Step 2: Convert to fraction form
    502,233.84/693,083.16 = 275,893.92/x
  3. Step 3: Cross multiply
    502,233.84x = 693,083.16 × 275,893.92
  4. Step 4: Simplify right side
    502,233.84x = 191,217,429,898.39
  5. Step 5: Solve for x
    x = 191,217,429,898.39/502,233.84
  6. Step 6: Final answer
    x = 380,733.86

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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.