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Finding the Fourth Proportional to 269,857.40, 404,786.10 and 82,878.20

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Solution

The fourth proportional to 269,857.40, 404,786.10 and 82,878.20 is: 124,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,857.40 : 404,786.10 = 82,878.20 : x
  2. Step 2: Convert to fraction form
    269,857.40/404,786.10 = 82,878.20/x
  3. Step 3: Cross multiply
    269,857.40x = 404,786.10 × 82,878.20
  4. Step 4: Simplify right side
    269,857.40x = 33,547,943,353.02
  5. Step 5: Solve for x
    x = 33,547,943,353.02/269,857.40
  6. Step 6: Final answer
    x = 124,317.30

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1.5x scale

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.