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Finding the Fourth Proportional to 343,523.82, 474,046.20 and 190,568.10

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Solution

The fourth proportional to 343,523.82, 474,046.20 and 190,568.10 is: 262,974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,523.82 : 474,046.20 = 190,568.10 : x
  2. Step 2: Convert to fraction form
    343,523.82/474,046.20 = 190,568.10/x
  3. Step 3: Cross multiply
    343,523.82x = 474,046.20 × 190,568.10
  4. Step 4: Simplify right side
    343,523.82x = 90,338,083,646.22
  5. Step 5: Solve for x
    x = 90,338,083,646.22/343,523.82
  6. Step 6: Final answer
    x = 262,974.73

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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.