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Finding the Fourth Proportional to 533,808.60, 800,722.16 and 196,675.71

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Solution

The fourth proportional to 533,808.60, 800,722.16 and 196,675.71 is: 295,016.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,808.60 : 800,722.16 = 196,675.71 : x
  2. Step 2: Convert to fraction form
    533,808.60/800,722.16 = 196,675.71/x
  3. Step 3: Cross multiply
    533,808.60x = 800,722.16 × 196,675.71
  4. Step 4: Simplify right side
    533,808.60x = 157,482,600,586.24
  5. Step 5: Solve for x
    x = 157,482,600,586.24/533,808.60
  6. Step 6: Final answer
    x = 295,016.98

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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.