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Finding the Fourth Proportional to 533,198.23, 800,019.65 and 233,893.60

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Solution

The fourth proportional to 533,198.23, 800,019.65 and 233,893.60 is: 350,937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,198.23 : 800,019.65 = 233,893.60 : x
  2. Step 2: Convert to fraction form
    533,198.23/800,019.65 = 233,893.60/x
  3. Step 3: Cross multiply
    533,198.23x = 800,019.65 × 233,893.60
  4. Step 4: Simplify right side
    533,198.23x = 187,119,476,009.24
  5. Step 5: Solve for x
    x = 187,119,476,009.24/533,198.23
  6. Step 6: Final answer
    x = 350,937.92

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1.5x scale

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.