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Finding the Fourth Proportional to 533,115.30, 799,813.13 and 191,593.20

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Solution

The fourth proportional to 533,115.30, 799,813.13 and 191,593.20 is: 287,440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,115.30 : 799,813.13 = 191,593.20 : x
  2. Step 2: Convert to fraction form
    533,115.30/799,813.13 = 191,593.20/x
  3. Step 3: Cross multiply
    533,115.30x = 799,813.13 × 191,593.20
  4. Step 4: Simplify right side
    533,115.30x = 153,238,756,978.72
  5. Step 5: Solve for x
    x = 153,238,756,978.72/533,115.30
  6. Step 6: Final answer
    x = 287,440.18

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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.