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Finding the Fourth Proportional to 306,772.84, 460,180.28 and 104,286.54

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Solution

The fourth proportional to 306,772.84, 460,180.28 and 104,286.54 is: 156,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,772.84 : 460,180.28 = 104,286.54 : x
  2. Step 2: Convert to fraction form
    306,772.84/460,180.28 = 104,286.54/x
  3. Step 3: Cross multiply
    306,772.84x = 460,180.28 × 104,286.54
  4. Step 4: Simplify right side
    306,772.84x = 47,990,609,177.43
  5. Step 5: Solve for x
    x = 47,990,609,177.43/306,772.84
  6. Step 6: Final answer
    x = 156,436.96

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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.