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Finding the Fourth Proportional to 296,691.60, 445,037.30 and 197,046.34

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Solution

The fourth proportional to 296,691.60, 445,037.30 and 197,046.34 is: 295,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,691.60 : 445,037.30 = 197,046.34 : x
  2. Step 2: Convert to fraction form
    296,691.60/445,037.30 = 197,046.34/x
  3. Step 3: Cross multiply
    296,691.60x = 445,037.30 × 197,046.34
  4. Step 4: Simplify right side
    296,691.60x = 87,692,971,128.48
  5. Step 5: Solve for x
    x = 87,692,971,128.48/296,691.60
  6. Step 6: Final answer
    x = 295,569.44

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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.