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Finding the Fourth Proportional to 533,565.07, 800,348.96 and 218,021.98

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Solution

The fourth proportional to 533,565.07, 800,348.96 and 218,021.98 is: 327,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,565.07 : 800,348.96 = 218,021.98 : x
  2. Step 2: Convert to fraction form
    533,565.07/800,348.96 = 218,021.98/x
  3. Step 3: Cross multiply
    533,565.07x = 800,348.96 × 218,021.98
  4. Step 4: Simplify right side
    533,565.07x = 174,493,664,950.14
  5. Step 5: Solve for x
    x = 174,493,664,950.14/533,565.07
  6. Step 6: Final answer
    x = 327,033.52

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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.