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Finding the Fourth Proportional to 533,565.40, 800,289.14 and 134,206.33

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Solution

The fourth proportional to 533,565.40, 800,289.14 and 134,206.33 is: 201,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,565.40 : 800,289.14 = 134,206.33 : x
  2. Step 2: Convert to fraction form
    533,565.40/800,289.14 = 134,206.33/x
  3. Step 3: Cross multiply
    533,565.40x = 800,289.14 × 134,206.33
  4. Step 4: Simplify right side
    533,565.40x = 107,403,863,745.78
  5. Step 5: Solve for x
    x = 107,403,863,745.78/533,565.40
  6. Step 6: Final answer
    x = 201,294.66

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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.