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Finding the Fourth Proportional to 322,519.26, 483,797.34 and 97,887.02

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Solution

The fourth proportional to 322,519.26, 483,797.34 and 97,887.02 is: 146,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,519.26 : 483,797.34 = 97,887.02 : x
  2. Step 2: Convert to fraction form
    322,519.26/483,797.34 = 97,887.02/x
  3. Step 3: Cross multiply
    322,519.26x = 483,797.34 × 97,887.02
  4. Step 4: Simplify right side
    322,519.26x = 47,357,479,896.53
  5. Step 5: Solve for x
    x = 47,357,479,896.53/322,519.26
  6. Step 6: Final answer
    x = 146,836.13

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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.