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Finding the Fourth Proportional to 424,133.91, 635,341.56 and 196,105.46

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Solution

The fourth proportional to 424,133.91, 635,341.56 and 196,105.46 is: 293,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,133.91 : 635,341.56 = 196,105.46 : x
  2. Step 2: Convert to fraction form
    424,133.91/635,341.56 = 196,105.46/x
  3. Step 3: Cross multiply
    424,133.91x = 635,341.56 × 196,105.46
  4. Step 4: Simplify right side
    424,133.91x = 124,593,944,968.81
  5. Step 5: Solve for x
    x = 124,593,944,968.81/424,133.91
  6. Step 6: Final answer
    x = 293,760.87

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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.