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Finding the Fourth Proportional to 269,284.20, 403,926.30 and 82,295.40

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Solution

The fourth proportional to 269,284.20, 403,926.30 and 82,295.40 is: 123,443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,284.20 : 403,926.30 = 82,295.40 : x
  2. Step 2: Convert to fraction form
    269,284.20/403,926.30 = 82,295.40/x
  3. Step 3: Cross multiply
    269,284.20x = 403,926.30 × 82,295.40
  4. Step 4: Simplify right side
    269,284.20x = 33,241,276,429.02
  5. Step 5: Solve for x
    x = 33,241,276,429.02/269,284.20
  6. Step 6: Final answer
    x = 123,443.10

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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.