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Finding the Fourth Proportional to 322,409.80, 483,290.29 and 133,008.31

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Solution

The fourth proportional to 322,409.80, 483,290.29 and 133,008.31 is: 199,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,409.80 : 483,290.29 = 133,008.31 : x
  2. Step 2: Convert to fraction form
    322,409.80/483,290.29 = 133,008.31/x
  3. Step 3: Cross multiply
    322,409.80x = 483,290.29 × 133,008.31
  4. Step 4: Simplify right side
    322,409.80x = 64,281,624,712.31
  5. Step 5: Solve for x
    x = 64,281,624,712.31/322,409.80
  6. Step 6: Final answer
    x = 199,378.63

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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.