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Finding the Fourth Proportional to 533,970.72, 800,935.02 and 196,865.64

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Solution

The fourth proportional to 533,970.72, 800,935.02 and 196,865.64 is: 295,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,970.72 : 800,935.02 = 196,865.64 : x
  2. Step 2: Convert to fraction form
    533,970.72/800,935.02 = 196,865.64/x
  3. Step 3: Cross multiply
    533,970.72x = 800,935.02 × 196,865.64
  4. Step 4: Simplify right side
    533,970.72x = 157,676,585,310.71
  5. Step 5: Solve for x
    x = 157,676,585,310.71/533,970.72
  6. Step 6: Final answer
    x = 295,290.70

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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.