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Finding the Fourth Proportional to 533,695.20, 800,473.68 and 201,228

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Solution

The fourth proportional to 533,695.20, 800,473.68 and 201,228 is: 301,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,695.20 : 800,473.68 = 201,228 : x
  2. Step 2: Convert to fraction form
    533,695.20/800,473.68 = 201,228/x
  3. Step 3: Cross multiply
    533,695.20x = 800,473.68 × 201,228
  4. Step 4: Simplify right side
    533,695.20x = 161,077,717,679.04
  5. Step 5: Solve for x
    x = 161,077,717,679.04/533,695.20
  6. Step 6: Final answer
    x = 301,815.94

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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.