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Finding the Fourth Proportional to 322,423.80, 483,066.22 and 195,805.68

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Solution

The fourth proportional to 322,423.80, 483,066.22 and 195,805.68 is: 293,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,423.80 : 483,066.22 = 195,805.68 : x
  2. Step 2: Convert to fraction form
    322,423.80/483,066.22 = 195,805.68/x
  3. Step 3: Cross multiply
    322,423.80x = 483,066.22 × 195,805.68
  4. Step 4: Simplify right side
    322,423.80x = 94,587,109,692.13
  5. Step 5: Solve for x
    x = 94,587,109,692.13/322,423.80
  6. Step 6: Final answer
    x = 293,362.68

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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.