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Finding the Fourth Proportional to 654,894.87, 982,342.54 and 294,644.94

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Solution

The fourth proportional to 654,894.87, 982,342.54 and 294,644.94 is: 441,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,894.87 : 982,342.54 = 294,644.94 : x
  2. Step 2: Convert to fraction form
    654,894.87/982,342.54 = 294,644.94/x
  3. Step 3: Cross multiply
    654,894.87x = 982,342.54 × 294,644.94
  4. Step 4: Simplify right side
    654,894.87x = 289,442,259,310.57
  5. Step 5: Solve for x
    x = 289,442,259,310.57/654,894.87
  6. Step 6: Final answer
    x = 441,967.52

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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.