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Finding the Fourth Proportional to 597,843.48, 896,570.21 and 198,377.00

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Solution

The fourth proportional to 597,843.48, 896,570.21 and 198,377.00 is: 297,500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,843.48 : 896,570.21 = 198,377.00 : x
  2. Step 2: Convert to fraction form
    597,843.48/896,570.21 = 198,377.00/x
  3. Step 3: Cross multiply
    597,843.48x = 896,570.21 × 198,377.00
  4. Step 4: Simplify right side
    597,843.48x = 177,858,903,074.43
  5. Step 5: Solve for x
    x = 177,858,903,074.43/597,843.48
  6. Step 6: Final answer
    x = 297,500.78

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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.