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Finding the Fourth Proportional to 297,958.50, 446,337.54 and 137,808.54

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Solution

The fourth proportional to 297,958.50, 446,337.54 and 137,808.54 is: 206,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,958.50 : 446,337.54 = 137,808.54 : x
  2. Step 2: Convert to fraction form
    297,958.50/446,337.54 = 137,808.54/x
  3. Step 3: Cross multiply
    297,958.50x = 446,337.54 × 137,808.54
  4. Step 4: Simplify right side
    297,958.50x = 61,509,124,734.59
  5. Step 5: Solve for x
    x = 61,509,124,734.59/297,958.50
  6. Step 6: Final answer
    x = 206,435.21

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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.