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Finding the Fourth Proportional to 322,664.64, 483,995.84 and 82,778.28

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Solution

The fourth proportional to 322,664.64, 483,995.84 and 82,778.28 is: 124,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,664.64 : 483,995.84 = 82,778.28 : x
  2. Step 2: Convert to fraction form
    322,664.64/483,995.84 = 82,778.28/x
  3. Step 3: Cross multiply
    322,664.64x = 483,995.84 × 82,778.28
  4. Step 4: Simplify right side
    322,664.64x = 40,064,343,162.36
  5. Step 5: Solve for x
    x = 40,064,343,162.36/322,664.64
  6. Step 6: Final answer
    x = 124,167.13

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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.