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Finding the Fourth Proportional to 295,705, 408,082.98 and 161,577.64

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Solution

The fourth proportional to 295,705, 408,082.98 and 161,577.64 is: 222,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,705 : 408,082.98 = 161,577.64 : x
  2. Step 2: Convert to fraction form
    295,705/408,082.98 = 161,577.64/x
  3. Step 3: Cross multiply
    295,705x = 408,082.98 × 161,577.64
  4. Step 4: Simplify right side
    295,705x = 65,937,084,832.57
  5. Step 5: Solve for x
    x = 65,937,084,832.57/295,705
  6. Step 6: Final answer
    x = 222,982.65

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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.