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Finding the Fourth Proportional to 382,562.96, 527,982.37 and 219,277.89

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Solution

The fourth proportional to 382,562.96, 527,982.37 and 219,277.89 is: 302,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,562.96 : 527,982.37 = 219,277.89 : x
  2. Step 2: Convert to fraction form
    382,562.96/527,982.37 = 219,277.89/x
  3. Step 3: Cross multiply
    382,562.96x = 527,982.37 × 219,277.89
  4. Step 4: Simplify right side
    382,562.96x = 115,774,859,502.61
  5. Step 5: Solve for x
    x = 115,774,859,502.61/382,562.96
  6. Step 6: Final answer
    x = 302,629.56

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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.