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Finding the Fourth Proportional to 297,741.40, 446,741.70 and 149,997.40

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Solution

The fourth proportional to 297,741.40, 446,741.70 and 149,997.40 is: 225,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,741.40 : 446,741.70 = 149,997.40 : x
  2. Step 2: Convert to fraction form
    297,741.40/446,741.70 = 149,997.40/x
  3. Step 3: Cross multiply
    297,741.40x = 446,741.70 × 149,997.40
  4. Step 4: Simplify right side
    297,741.40x = 67,010,093,471.58
  5. Step 5: Solve for x
    x = 67,010,093,471.58/297,741.40
  6. Step 6: Final answer
    x = 225,061.39

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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.