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Finding the Fourth Proportional to 295,705.50, 408,083.67 and 161,578.14

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Solution

The fourth proportional to 295,705.50, 408,083.67 and 161,578.14 is: 222,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,705.50 : 408,083.67 = 161,578.14 : x
  2. Step 2: Convert to fraction form
    295,705.50/408,083.67 = 161,578.14/x
  3. Step 3: Cross multiply
    295,705.50x = 408,083.67 × 161,578.14
  4. Step 4: Simplify right side
    295,705.50x = 65,937,400,362.97
  5. Step 5: Solve for x
    x = 65,937,400,362.97/295,705.50
  6. Step 6: Final answer
    x = 222,983.34

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1.5x scale

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.