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Finding the Fourth Proportional to 533,788.42, 800,648.07 and 201,355.78

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Solution

The fourth proportional to 533,788.42, 800,648.07 and 201,355.78 is: 302,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,788.42 : 800,648.07 = 201,355.78 : x
  2. Step 2: Convert to fraction form
    533,788.42/800,648.07 = 201,355.78/x
  3. Step 3: Cross multiply
    533,788.42x = 800,648.07 × 201,355.78
  4. Step 4: Simplify right side
    533,788.42x = 161,215,116,640.35
  5. Step 5: Solve for x
    x = 161,215,116,640.35/533,788.42
  6. Step 6: Final answer
    x = 302,020.63

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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.