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Finding the Fourth Proportional to 297,986.82, 446,994.22 and 98,324.66

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Solution

The fourth proportional to 297,986.82, 446,994.22 and 98,324.66 is: 147,491.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,986.82 : 446,994.22 = 98,324.66 : x
  2. Step 2: Convert to fraction form
    297,986.82/446,994.22 = 98,324.66/x
  3. Step 3: Cross multiply
    297,986.82x = 446,994.22 × 98,324.66
  4. Step 4: Simplify right side
    297,986.82x = 43,950,554,703.47
  5. Step 5: Solve for x
    x = 43,950,554,703.47/297,986.82
  6. Step 6: Final answer
    x = 147,491.61

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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.