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Finding the Fourth Proportional to 294,861.33, 442,292.46 and 89,697.78

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Solution

The fourth proportional to 294,861.33, 442,292.46 and 89,697.78 is: 134,546.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,861.33 : 442,292.46 = 89,697.78 : x
  2. Step 2: Convert to fraction form
    294,861.33/442,292.46 = 89,697.78/x
  3. Step 3: Cross multiply
    294,861.33x = 442,292.46 × 89,697.78
  4. Step 4: Simplify right side
    294,861.33x = 39,672,651,772.74
  5. Step 5: Solve for x
    x = 39,672,651,772.74/294,861.33
  6. Step 6: Final answer
    x = 134,546.81

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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.