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Finding the Fourth Proportional to 322,327.80, 483,321.60 and 109,022.40

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Solution

The fourth proportional to 322,327.80, 483,321.60 and 109,022.40 is: 163,476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,327.80 : 483,321.60 = 109,022.40 : x
  2. Step 2: Convert to fraction form
    322,327.80/483,321.60 = 109,022.40/x
  3. Step 3: Cross multiply
    322,327.80x = 483,321.60 × 109,022.40
  4. Step 4: Simplify right side
    322,327.80x = 52,692,880,803.84
  5. Step 5: Solve for x
    x = 52,692,880,803.84/322,327.80
  6. Step 6: Final answer
    x = 163,476.07

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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.