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Finding the Fourth Proportional to 297,998.61, 446,994.14 and 73,361.85

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Solution

The fourth proportional to 297,998.61, 446,994.14 and 73,361.85 is: 110,041.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,998.61 : 446,994.14 = 73,361.85 : x
  2. Step 2: Convert to fraction form
    297,998.61/446,994.14 = 73,361.85/x
  3. Step 3: Cross multiply
    297,998.61x = 446,994.14 × 73,361.85
  4. Step 4: Simplify right side
    297,998.61x = 32,792,316,682.75
  5. Step 5: Solve for x
    x = 32,792,316,682.75/297,998.61
  6. Step 6: Final answer
    x = 110,041.84

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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.