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Finding the Fourth Proportional to 533,529.81, 800,610.62 and 196,807.14

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Solution

The fourth proportional to 533,529.81, 800,610.62 and 196,807.14 is: 295,327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,529.81 : 800,610.62 = 196,807.14 : x
  2. Step 2: Convert to fraction form
    533,529.81/800,610.62 = 196,807.14/x
  3. Step 3: Cross multiply
    533,529.81x = 800,610.62 × 196,807.14
  4. Step 4: Simplify right side
    533,529.81x = 157,565,885,391.79
  5. Step 5: Solve for x
    x = 157,565,885,391.79/533,529.81
  6. Step 6: Final answer
    x = 295,327.24

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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.