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Finding the Fourth Proportional to 392,143.16, 541,157.51 and 222,377.29

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Solution

The fourth proportional to 392,143.16, 541,157.51 and 222,377.29 is: 306,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,143.16 : 541,157.51 = 222,377.29 : x
  2. Step 2: Convert to fraction form
    392,143.16/541,157.51 = 222,377.29/x
  3. Step 3: Cross multiply
    392,143.16x = 541,157.51 × 222,377.29
  4. Step 4: Simplify right side
    392,143.16x = 120,341,140,536.95
  5. Step 5: Solve for x
    x = 120,341,140,536.95/392,143.16
  6. Step 6: Final answer
    x = 306,880.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.