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Finding the Fourth Proportional to 297,833.25, 446,805.23 and 98,167.67

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Solution

The fourth proportional to 297,833.25, 446,805.23 and 98,167.67 is: 147,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,833.25 : 446,805.23 = 98,167.67 : x
  2. Step 2: Convert to fraction form
    297,833.25/446,805.23 = 98,167.67/x
  3. Step 3: Cross multiply
    297,833.25x = 446,805.23 × 98,167.67
  4. Step 4: Simplify right side
    297,833.25x = 43,861,825,648.05
  5. Step 5: Solve for x
    x = 43,861,825,648.05/297,833.25
  6. Step 6: Final answer
    x = 147,269.74

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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.