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Finding the Fourth Proportional to 322,505.20, 483,757.80 and 97,865.20

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Solution

The fourth proportional to 322,505.20, 483,757.80 and 97,865.20 is: 146,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,505.20 : 483,757.80 = 97,865.20 : x
  2. Step 2: Convert to fraction form
    322,505.20/483,757.80 = 97,865.20/x
  3. Step 3: Cross multiply
    322,505.20x = 483,757.80 × 97,865.20
  4. Step 4: Simplify right side
    322,505.20x = 47,343,053,848.56
  5. Step 5: Solve for x
    x = 47,343,053,848.56/322,505.20
  6. Step 6: Final answer
    x = 146,797.80

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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.