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Finding the Fourth Proportional to 297,265.50, 445,944.69 and 97,540.47

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Solution

The fourth proportional to 297,265.50, 445,944.69 and 97,540.47 is: 146,325.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,265.50 : 445,944.69 = 97,540.47 : x
  2. Step 2: Convert to fraction form
    297,265.50/445,944.69 = 97,540.47/x
  3. Step 3: Cross multiply
    297,265.50x = 445,944.69 × 97,540.47
  4. Step 4: Simplify right side
    297,265.50x = 43,497,654,656.60
  5. Step 5: Solve for x
    x = 43,497,654,656.60/297,265.50
  6. Step 6: Final answer
    x = 146,325.94

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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.