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Finding the Fourth Proportional to 297,080.38, 409,971.14 and 161,114.32

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Solution

The fourth proportional to 297,080.38, 409,971.14 and 161,114.32 is: 222,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,080.38 : 409,971.14 = 161,114.32 : x
  2. Step 2: Convert to fraction form
    297,080.38/409,971.14 = 161,114.32/x
  3. Step 3: Cross multiply
    297,080.38x = 409,971.14 × 161,114.32
  4. Step 4: Simplify right side
    297,080.38x = 66,052,221,440.72
  5. Step 5: Solve for x
    x = 66,052,221,440.72/297,080.38
  6. Step 6: Final answer
    x = 222,337.88

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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.