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Finding the Fourth Proportional to 297,533.63, 446,375.96 and 137,724.84

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Solution

The fourth proportional to 297,533.63, 446,375.96 and 137,724.84 is: 206,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,533.63 : 446,375.96 = 137,724.84 : x
  2. Step 2: Convert to fraction form
    297,533.63/446,375.96 = 137,724.84/x
  3. Step 3: Cross multiply
    297,533.63x = 446,375.96 × 137,724.84
  4. Step 4: Simplify right side
    297,533.63x = 61,477,056,982.22
  5. Step 5: Solve for x
    x = 61,477,056,982.22/297,533.63
  6. Step 6: Final answer
    x = 206,622.22

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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.