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Finding the Fourth Proportional to 297,687.24, 446,592.24 and 98,019.52

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Solution

The fourth proportional to 297,687.24, 446,592.24 and 98,019.52 is: 147,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,687.24 : 446,592.24 = 98,019.52 : x
  2. Step 2: Convert to fraction form
    297,687.24/446,592.24 = 98,019.52/x
  3. Step 3: Cross multiply
    297,687.24x = 446,592.24 × 98,019.52
  4. Step 4: Simplify right side
    297,687.24x = 43,774,757,000.52
  5. Step 5: Solve for x
    x = 43,774,757,000.52/297,687.24
  6. Step 6: Final answer
    x = 147,049.49

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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.