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Finding the Fourth Proportional to 424,088.92, 635,582.94 and 196,298.56

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Solution

The fourth proportional to 424,088.92, 635,582.94 and 196,298.56 is: 294,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,088.92 : 635,582.94 = 196,298.56 : x
  2. Step 2: Convert to fraction form
    424,088.92/635,582.94 = 196,298.56/x
  3. Step 3: Cross multiply
    424,088.92x = 635,582.94 × 196,298.56
  4. Step 4: Simplify right side
    424,088.92x = 124,764,015,882.57
  5. Step 5: Solve for x
    x = 124,764,015,882.57/424,088.92
  6. Step 6: Final answer
    x = 294,193.06

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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.