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Finding the Fourth Proportional to 343,825.28, 474,471.42 and 190,854.62

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Solution

The fourth proportional to 343,825.28, 474,471.42 and 190,854.62 is: 263,375.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,825.28 : 474,471.42 = 190,854.62 : x
  2. Step 2: Convert to fraction form
    343,825.28/474,471.42 = 190,854.62/x
  3. Step 3: Cross multiply
    343,825.28x = 474,471.42 × 190,854.62
  4. Step 4: Simplify right side
    343,825.28x = 90,555,062,564.96
  5. Step 5: Solve for x
    x = 90,555,062,564.96/343,825.28
  6. Step 6: Final answer
    x = 263,375.23

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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.