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Finding the Fourth Proportional to 613,197, 919,803.69 and 192,472.88

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Solution

The fourth proportional to 613,197, 919,803.69 and 192,472.88 is: 288,711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,197 : 919,803.69 = 192,472.88 : x
  2. Step 2: Convert to fraction form
    613,197/919,803.69 = 192,472.88/x
  3. Step 3: Cross multiply
    613,197x = 919,803.69 × 192,472.88
  4. Step 4: Simplify right side
    613,197x = 177,037,260,649.91
  5. Step 5: Solve for x
    x = 177,037,260,649.91/613,197
  6. Step 6: Final answer
    x = 288,711.88

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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.