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Finding the Fourth Proportional to 297,060.49, 409,943.58 and 161,094.40

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Solution

The fourth proportional to 297,060.49, 409,943.58 and 161,094.40 is: 222,310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,060.49 : 409,943.58 = 161,094.40 : x
  2. Step 2: Convert to fraction form
    297,060.49/409,943.58 = 161,094.40/x
  3. Step 3: Cross multiply
    297,060.49x = 409,943.58 × 161,094.40
  4. Step 4: Simplify right side
    297,060.49x = 66,039,613,004.23
  5. Step 5: Solve for x
    x = 66,039,613,004.23/297,060.49
  6. Step 6: Final answer
    x = 222,310.32

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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.