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Finding the Fourth Proportional to 533,763.84, 800,647.14 and 196,658.42

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Solution

The fourth proportional to 533,763.84, 800,647.14 and 196,658.42 is: 294,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,763.84 : 800,647.14 = 196,658.42 : x
  2. Step 2: Convert to fraction form
    533,763.84/800,647.14 = 196,658.42/x
  3. Step 3: Cross multiply
    533,763.84x = 800,647.14 × 196,658.42
  4. Step 4: Simplify right side
    533,763.84x = 157,454,001,529.92
  5. Step 5: Solve for x
    x = 157,454,001,529.92/533,763.84
  6. Step 6: Final answer
    x = 294,988.14

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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.