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Finding the Fourth Proportional to 297,738.40, 446,737.20 and 149,994.40

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Solution

The fourth proportional to 297,738.40, 446,737.20 and 149,994.40 is: 225,056.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,738.40 : 446,737.20 = 149,994.40 : x
  2. Step 2: Convert to fraction form
    297,738.40/446,737.20 = 149,994.40/x
  3. Step 3: Cross multiply
    297,738.40x = 446,737.20 × 149,994.40
  4. Step 4: Simplify right side
    297,738.40x = 67,008,078,271.68
  5. Step 5: Solve for x
    x = 67,008,078,271.68/297,738.40
  6. Step 6: Final answer
    x = 225,056.89

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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.