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Finding the Fourth Proportional to 297,474.84, 446,389.55 and 107,949.98

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Solution

The fourth proportional to 297,474.84, 446,389.55 and 107,949.98 is: 161,989.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,474.84 : 446,389.55 = 107,949.98 : x
  2. Step 2: Convert to fraction form
    297,474.84/446,389.55 = 107,949.98/x
  3. Step 3: Cross multiply
    297,474.84x = 446,389.55 × 107,949.98
  4. Step 4: Simplify right side
    297,474.84x = 48,187,740,223.01
  5. Step 5: Solve for x
    x = 48,187,740,223.01/297,474.84
  6. Step 6: Final answer
    x = 161,989.30

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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.