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Finding the Fourth Proportional to 297,334.92, 410,461.80 and 199,384.88

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Solution

The fourth proportional to 297,334.92, 410,461.80 and 199,384.88 is: 275,244.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,334.92 : 410,461.80 = 199,384.88 : x
  2. Step 2: Convert to fraction form
    297,334.92/410,461.80 = 199,384.88/x
  3. Step 3: Cross multiply
    297,334.92x = 410,461.80 × 199,384.88
  4. Step 4: Simplify right side
    297,334.92x = 81,839,876,737.58
  5. Step 5: Solve for x
    x = 81,839,876,737.58/297,334.92
  6. Step 6: Final answer
    x = 275,244.75

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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.