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Finding the Fourth Proportional to 827,982.10, 1,240,223.55 and 827,982.10

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Solution

The fourth proportional to 827,982.10, 1,240,223.55 and 827,982.10 is: 1,240,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,982.10 : 1,240,223.55 = 827,982.10 : x
  2. Step 2: Convert to fraction form
    827,982.10/1,240,223.55 = 827,982.10/x
  3. Step 3: Cross multiply
    827,982.10x = 1,240,223.55 × 827,982.10
  4. Step 4: Simplify right side
    827,982.10x = 1,026,882,899,398.46
  5. Step 5: Solve for x
    x = 1,026,882,899,398.46/827,982.10
  6. Step 6: Final answer
    x = 1,240,223.55

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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.