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Finding the Fourth Proportional to 299,682.60, 413,810.82 and 199,535.40

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Solution

The fourth proportional to 299,682.60, 413,810.82 and 199,535.40 is: 275,524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,682.60 : 413,810.82 = 199,535.40 : x
  2. Step 2: Convert to fraction form
    299,682.60/413,810.82 = 199,535.40/x
  3. Step 3: Cross multiply
    299,682.60x = 413,810.82 × 199,535.40
  4. Step 4: Simplify right side
    299,682.60x = 82,569,907,493.03
  5. Step 5: Solve for x
    x = 82,569,907,493.03/299,682.60
  6. Step 6: Final answer
    x = 275,524.53

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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.