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Finding the Fourth Proportional to 297,375.64, 445,969.48 and 97,663.12

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Solution

The fourth proportional to 297,375.64, 445,969.48 and 97,663.12 is: 146,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,375.64 : 445,969.48 = 97,663.12 : x
  2. Step 2: Convert to fraction form
    297,375.64/445,969.48 = 97,663.12/x
  3. Step 3: Cross multiply
    297,375.64x = 445,969.48 × 97,663.12
  4. Step 4: Simplify right side
    297,375.64x = 43,554,770,841.58
  5. Step 5: Solve for x
    x = 43,554,770,841.58/297,375.64
  6. Step 6: Final answer
    x = 146,463.82

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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.