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Finding the Fourth Proportional to 306,772.83, 460,180.25 and 104,286.53

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Solution

The fourth proportional to 306,772.83, 460,180.25 and 104,286.53 is: 156,436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,772.83 : 460,180.25 = 104,286.53 : x
  2. Step 2: Convert to fraction form
    306,772.83/460,180.25 = 104,286.53/x
  3. Step 3: Cross multiply
    306,772.83x = 460,180.25 × 104,286.53
  4. Step 4: Simplify right side
    306,772.83x = 47,990,599,708.10
  5. Step 5: Solve for x
    x = 47,990,599,708.10/306,772.83
  6. Step 6: Final answer
    x = 156,436.93

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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.