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Finding the Fourth Proportional to 533,141.52, 799,023.38 and 398,969.08

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Solution

The fourth proportional to 533,141.52, 799,023.38 and 398,969.08 is: 597,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,141.52 : 799,023.38 = 398,969.08 : x
  2. Step 2: Convert to fraction form
    533,141.52/799,023.38 = 398,969.08/x
  3. Step 3: Cross multiply
    533,141.52x = 799,023.38 × 398,969.08
  4. Step 4: Simplify right side
    533,141.52x = 318,785,622,817.09
  5. Step 5: Solve for x
    x = 318,785,622,817.09/533,141.52
  6. Step 6: Final answer
    x = 597,938.09

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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.