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Finding the Fourth Proportional to 299,745.32, 413,833.02 and 192,504.35

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Solution

The fourth proportional to 299,745.32, 413,833.02 and 192,504.35 is: 265,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,745.32 : 413,833.02 = 192,504.35 : x
  2. Step 2: Convert to fraction form
    299,745.32/413,833.02 = 192,504.35/x
  3. Step 3: Cross multiply
    299,745.32x = 413,833.02 × 192,504.35
  4. Step 4: Simplify right side
    299,745.32x = 79,664,656,523.64
  5. Step 5: Solve for x
    x = 79,664,656,523.64/299,745.32
  6. Step 6: Final answer
    x = 265,774.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.