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Finding the Fourth Proportional to 533,854.01, 800,851.49 and 197,131.34

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Solution

The fourth proportional to 533,854.01, 800,851.49 and 197,131.34 is: 295,723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,854.01 : 800,851.49 = 197,131.34 : x
  2. Step 2: Convert to fraction form
    533,854.01/800,851.49 = 197,131.34/x
  3. Step 3: Cross multiply
    533,854.01x = 800,851.49 × 197,131.34
  4. Step 4: Simplify right side
    533,854.01x = 157,872,922,374.78
  5. Step 5: Solve for x
    x = 157,872,922,374.78/533,854.01
  6. Step 6: Final answer
    x = 295,723.03

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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.