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Finding the Fourth Proportional to 654,843.67, 982,265.79 and 294,593.74

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Solution

The fourth proportional to 654,843.67, 982,265.79 and 294,593.74 is: 441,890.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,843.67 : 982,265.79 = 294,593.74 : x
  2. Step 2: Convert to fraction form
    654,843.67/982,265.79 = 294,593.74/x
  3. Step 3: Cross multiply
    654,843.67x = 982,265.79 × 294,593.74
  4. Step 4: Simplify right side
    654,843.67x = 289,369,352,750.16
  5. Step 5: Solve for x
    x = 289,369,352,750.16/654,843.67
  6. Step 6: Final answer
    x = 441,890.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.