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Finding the Fourth Proportional to 329,415.86, 454,418.61 and 200,393.80

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Solution

The fourth proportional to 329,415.86, 454,418.61 and 200,393.80 is: 276,436.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,415.86 : 454,418.61 = 200,393.80 : x
  2. Step 2: Convert to fraction form
    329,415.86/454,418.61 = 200,393.80/x
  3. Step 3: Cross multiply
    329,415.86x = 454,418.61 × 200,393.80
  4. Step 4: Simplify right side
    329,415.86x = 91,062,670,161.09
  5. Step 5: Solve for x
    x = 91,062,670,161.09/329,415.86
  6. Step 6: Final answer
    x = 276,436.81

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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.