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Finding the Fourth Proportional to 297,505.31, 446,258.00 and 75,889.31

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Solution

The fourth proportional to 297,505.31, 446,258.00 and 75,889.31 is: 113,833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,505.31 : 446,258.00 = 75,889.31 : x
  2. Step 2: Convert to fraction form
    297,505.31/446,258.00 = 75,889.31/x
  3. Step 3: Cross multiply
    297,505.31x = 446,258.00 × 75,889.31
  4. Step 4: Simplify right side
    297,505.31x = 33,866,213,007.35
  5. Step 5: Solve for x
    x = 33,866,213,007.35/297,505.31
  6. Step 6: Final answer
    x = 113,833.98

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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.