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Finding the Fourth Proportional to 295,999.29, 408,518.99 and 166,964.23

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Solution

The fourth proportional to 295,999.29, 408,518.99 and 166,964.23 is: 230,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,999.29 : 408,518.99 = 166,964.23 : x
  2. Step 2: Convert to fraction form
    295,999.29/408,518.99 = 166,964.23/x
  3. Step 3: Cross multiply
    295,999.29x = 408,518.99 × 166,964.23
  4. Step 4: Simplify right side
    295,999.29x = 68,208,058,605.73
  5. Step 5: Solve for x
    x = 68,208,058,605.73/295,999.29
  6. Step 6: Final answer
    x = 230,433.18

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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.