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Finding the Fourth Proportional to 198,596.70, 297,864.26 and 56,448.59

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Solution

The fourth proportional to 198,596.70, 297,864.26 and 56,448.59 is: 84,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,596.70 : 297,864.26 = 56,448.59 : x
  2. Step 2: Convert to fraction form
    198,596.70/297,864.26 = 56,448.59/x
  3. Step 3: Cross multiply
    198,596.70x = 297,864.26 × 56,448.59
  4. Step 4: Simplify right side
    198,596.70x = 16,814,015,716.83
  5. Step 5: Solve for x
    x = 16,814,015,716.83/198,596.70
  6. Step 6: Final answer
    x = 84,664.12

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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.