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Finding the Fourth Proportional to 362,022.40, 543,908.40 and 323,531.20

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Solution

The fourth proportional to 362,022.40, 543,908.40 and 323,531.20 is: 486,078.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,022.40 : 543,908.40 = 323,531.20 : x
  2. Step 2: Convert to fraction form
    362,022.40/543,908.40 = 323,531.20/x
  3. Step 3: Cross multiply
    362,022.40x = 543,908.40 × 323,531.20
  4. Step 4: Simplify right side
    362,022.40x = 175,971,337,342.08
  5. Step 5: Solve for x
    x = 175,971,337,342.08/362,022.40
  6. Step 6: Final answer
    x = 486,078.59

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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.