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Finding the Fourth Proportional to 382,424.82, 527,749.66 and 207,996.58

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Solution

The fourth proportional to 382,424.82, 527,749.66 and 207,996.58 is: 287,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,424.82 : 527,749.66 = 207,996.58 : x
  2. Step 2: Convert to fraction form
    382,424.82/527,749.66 = 207,996.58/x
  3. Step 3: Cross multiply
    382,424.82x = 527,749.66 × 207,996.58
  4. Step 4: Simplify right side
    382,424.82x = 109,770,124,376.16
  5. Step 5: Solve for x
    x = 109,770,124,376.16/382,424.82
  6. Step 6: Final answer
    x = 287,037.13

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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.