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Finding the Fourth Proportional to 533,280.66, 799,842.33 and 196,243.02

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Solution

The fourth proportional to 533,280.66, 799,842.33 and 196,243.02 is: 294,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,280.66 : 799,842.33 = 196,243.02 : x
  2. Step 2: Convert to fraction form
    533,280.66/799,842.33 = 196,243.02/x
  3. Step 3: Cross multiply
    533,280.66x = 799,842.33 × 196,243.02
  4. Step 4: Simplify right side
    533,280.66x = 156,963,474,363.04
  5. Step 5: Solve for x
    x = 156,963,474,363.04/533,280.66
  6. Step 6: Final answer
    x = 294,335.58

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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.