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Finding the Fourth Proportional to 322,476.87, 483,713.78 and 82,590.32

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Solution

The fourth proportional to 322,476.87, 483,713.78 and 82,590.32 is: 123,885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,476.87 : 483,713.78 = 82,590.32 : x
  2. Step 2: Convert to fraction form
    322,476.87/483,713.78 = 82,590.32/x
  3. Step 3: Cross multiply
    322,476.87x = 483,713.78 × 82,590.32
  4. Step 4: Simplify right side
    322,476.87x = 39,950,073,666.52
  5. Step 5: Solve for x
    x = 39,950,073,666.52/322,476.87
  6. Step 6: Final answer
    x = 123,885.08

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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.