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Finding the Fourth Proportional to 351,693.60, 527,767.20 and 194,035.20

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Solution

The fourth proportional to 351,693.60, 527,767.20 and 194,035.20 is: 291,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,693.60 : 527,767.20 = 194,035.20 : x
  2. Step 2: Convert to fraction form
    351,693.60/527,767.20 = 194,035.20/x
  3. Step 3: Cross multiply
    351,693.60x = 527,767.20 × 194,035.20
  4. Step 4: Simplify right side
    351,693.60x = 102,405,414,205.44
  5. Step 5: Solve for x
    x = 102,405,414,205.44/351,693.60
  6. Step 6: Final answer
    x = 291,177.93

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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.