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Finding the Fourth Proportional to 340,286.38, 469,595.20 and 189,419.02

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Solution

The fourth proportional to 340,286.38, 469,595.20 and 189,419.02 is: 261,398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,286.38 : 469,595.20 = 189,419.02 : x
  2. Step 2: Convert to fraction form
    340,286.38/469,595.20 = 189,419.02/x
  3. Step 3: Cross multiply
    340,286.38x = 469,595.20 × 189,419.02
  4. Step 4: Simplify right side
    340,286.38x = 88,950,262,580.70
  5. Step 5: Solve for x
    x = 88,950,262,580.70/340,286.38
  6. Step 6: Final answer
    x = 261,398.25

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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.