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Finding the Fourth Proportional to 322,593.30, 483,875.98 and 97,948.64

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Solution

The fourth proportional to 322,593.30, 483,875.98 and 97,948.64 is: 146,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,593.30 : 483,875.98 = 97,948.64 : x
  2. Step 2: Convert to fraction form
    322,593.30/483,875.98 = 97,948.64/x
  3. Step 3: Cross multiply
    322,593.30x = 483,875.98 × 97,948.64
  4. Step 4: Simplify right side
    322,593.30x = 47,394,995,134.49
  5. Step 5: Solve for x
    x = 47,394,995,134.49/322,593.30
  6. Step 6: Final answer
    x = 146,918.72

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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.