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Finding the Fourth Proportional to 344,927.60, 475,998.32 and 194,025.68

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Solution

The fourth proportional to 344,927.60, 475,998.32 and 194,025.68 is: 267,754.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,927.60 : 475,998.32 = 194,025.68 : x
  2. Step 2: Convert to fraction form
    344,927.60/475,998.32 = 194,025.68/x
  3. Step 3: Cross multiply
    344,927.60x = 475,998.32 × 194,025.68
  4. Step 4: Simplify right side
    344,927.60x = 92,355,897,716.86
  5. Step 5: Solve for x
    x = 92,355,897,716.86/344,927.60
  6. Step 6: Final answer
    x = 267,754.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.