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Finding the Fourth Proportional to 356,978.20, 492,633.68 and 195,833.56

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Solution

The fourth proportional to 356,978.20, 492,633.68 and 195,833.56 is: 270,252.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,978.20 : 492,633.68 = 195,833.56 : x
  2. Step 2: Convert to fraction form
    356,978.20/492,633.68 = 195,833.56/x
  3. Step 3: Cross multiply
    356,978.20x = 492,633.68 × 195,833.56
  4. Step 4: Simplify right side
    356,978.20x = 96,474,207,330.30
  5. Step 5: Solve for x
    x = 96,474,207,330.30/356,978.20
  6. Step 6: Final answer
    x = 270,252.38

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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.