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Finding the Fourth Proportional to 356,908.38, 492,534.27 and 195,764.75

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Solution

The fourth proportional to 356,908.38, 492,534.27 and 195,764.75 is: 270,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,908.38 : 492,534.27 = 195,764.75 : x
  2. Step 2: Convert to fraction form
    356,908.38/492,534.27 = 195,764.75/x
  3. Step 3: Cross multiply
    356,908.38x = 492,534.27 × 195,764.75
  4. Step 4: Simplify right side
    356,908.38x = 96,420,847,617.31
  5. Step 5: Solve for x
    x = 96,420,847,617.31/356,908.38
  6. Step 6: Final answer
    x = 270,155.74

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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.