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Finding the Fourth Proportional to 322,591.49, 483,855.97 and 97,953.90

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Solution

The fourth proportional to 322,591.49, 483,855.97 and 97,953.90 is: 146,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,591.49 : 483,855.97 = 97,953.90 : x
  2. Step 2: Convert to fraction form
    322,591.49/483,855.97 = 97,953.90/x
  3. Step 3: Cross multiply
    322,591.49x = 483,855.97 × 97,953.90
  4. Step 4: Simplify right side
    322,591.49x = 47,395,580,145.79
  5. Step 5: Solve for x
    x = 47,395,580,145.79/322,591.49
  6. Step 6: Final answer
    x = 146,921.36

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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.