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Finding the Fourth Proportional to 297,466.64, 446,287.32 and 119,882.24

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Solution

The fourth proportional to 297,466.64, 446,287.32 and 119,882.24 is: 179,858.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,466.64 : 446,287.32 = 119,882.24 : x
  2. Step 2: Convert to fraction form
    297,466.64/446,287.32 = 119,882.24/x
  3. Step 3: Cross multiply
    297,466.64x = 446,287.32 × 119,882.24
  4. Step 4: Simplify right side
    297,466.64x = 53,501,923,605.20
  5. Step 5: Solve for x
    x = 53,501,923,605.20/297,466.64
  6. Step 6: Final answer
    x = 179,858.57

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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.