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Finding the Fourth Proportional to 356,792.24, 492,378.84 and 195,662

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Solution

The fourth proportional to 356,792.24, 492,378.84 and 195,662 is: 270,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,792.24 : 492,378.84 = 195,662 : x
  2. Step 2: Convert to fraction form
    356,792.24/492,378.84 = 195,662/x
  3. Step 3: Cross multiply
    356,792.24x = 492,378.84 × 195,662
  4. Step 4: Simplify right side
    356,792.24x = 96,339,828,592.08
  5. Step 5: Solve for x
    x = 96,339,828,592.08/356,792.24
  6. Step 6: Final answer
    x = 270,016.60

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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.