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Finding the Fourth Proportional to 424,135.91, 635,344.55 and 196,107.46

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Solution

The fourth proportional to 424,135.91, 635,344.55 and 196,107.46 is: 293,763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,135.91 : 635,344.55 = 196,107.46 : x
  2. Step 2: Convert to fraction form
    424,135.91/635,344.55 = 196,107.46/x
  3. Step 3: Cross multiply
    424,135.91x = 635,344.55 × 196,107.46
  4. Step 4: Simplify right side
    424,135.91x = 124,595,805,925.34
  5. Step 5: Solve for x
    x = 124,595,805,925.34/424,135.91
  6. Step 6: Final answer
    x = 293,763.87

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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.