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Finding the Fourth Proportional to 533,606.47, 800,516.84 and 196,648.89

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Solution

The fourth proportional to 533,606.47, 800,516.84 and 196,648.89 is: 295,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,606.47 : 800,516.84 = 196,648.89 : x
  2. Step 2: Convert to fraction form
    533,606.47/800,516.84 = 196,648.89/x
  3. Step 3: Cross multiply
    533,606.47x = 800,516.84 × 196,648.89
  4. Step 4: Simplify right side
    533,606.47x = 157,420,746,555.11
  5. Step 5: Solve for x
    x = 157,420,746,555.11/533,606.47
  6. Step 6: Final answer
    x = 295,012.81

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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.