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Finding the Fourth Proportional to 295,928, 408,382.08 and 161,792

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Solution

The fourth proportional to 295,928, 408,382.08 and 161,792 is: 223,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,928 : 408,382.08 = 161,792 : x
  2. Step 2: Convert to fraction form
    295,928/408,382.08 = 161,792/x
  3. Step 3: Cross multiply
    295,928x = 408,382.08 × 161,792
  4. Step 4: Simplify right side
    295,928x = 66,072,953,487.36
  5. Step 5: Solve for x
    x = 66,072,953,487.36/295,928
  6. Step 6: Final answer
    x = 223,273.75

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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.