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Finding the Fourth Proportional to 474,093.68, 711,141.22 and 193,610.94

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Solution

The fourth proportional to 474,093.68, 711,141.22 and 193,610.94 is: 290,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,093.68 : 711,141.22 = 193,610.94 : x
  2. Step 2: Convert to fraction form
    474,093.68/711,141.22 = 193,610.94/x
  3. Step 3: Cross multiply
    474,093.68x = 711,141.22 × 193,610.94
  4. Step 4: Simplify right side
    474,093.68x = 137,684,720,076.95
  5. Step 5: Solve for x
    x = 137,684,720,076.95/474,093.68
  6. Step 6: Final answer
    x = 290,416.70

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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.