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Finding the Fourth Proportional to 784,663, 1,176,997.38 and 193,687

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Solution

The fourth proportional to 784,663, 1,176,997.38 and 193,687 is: 290,531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,663 : 1,176,997.38 = 193,687 : x
  2. Step 2: Convert to fraction form
    784,663/1,176,997.38 = 193,687/x
  3. Step 3: Cross multiply
    784,663x = 1,176,997.38 × 193,687
  4. Step 4: Simplify right side
    784,663x = 227,969,091,540.06
  5. Step 5: Solve for x
    x = 227,969,091,540.06/784,663
  6. Step 6: Final answer
    x = 290,531.21

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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.