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Finding the Fourth Proportional to 265,899.38, 398,404.98 and 186,872.13

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Solution

The fourth proportional to 265,899.38, 398,404.98 and 186,872.13 is: 279,996.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,899.38 : 398,404.98 = 186,872.13 : x
  2. Step 2: Convert to fraction form
    265,899.38/398,404.98 = 186,872.13/x
  3. Step 3: Cross multiply
    265,899.38x = 398,404.98 × 186,872.13
  4. Step 4: Simplify right side
    265,899.38x = 74,450,787,215.21
  5. Step 5: Solve for x
    x = 74,450,787,215.21/265,899.38
  6. Step 6: Final answer
    x = 279,996.10

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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.