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Finding the Fourth Proportional to 297,293.97, 410,266.79 and 161,327.94

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Solution

The fourth proportional to 297,293.97, 410,266.79 and 161,327.94 is: 222,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,293.97 : 410,266.79 = 161,327.94 : x
  2. Step 2: Convert to fraction form
    297,293.97/410,266.79 = 161,327.94/x
  3. Step 3: Cross multiply
    297,293.97x = 410,266.79 × 161,327.94
  4. Step 4: Simplify right side
    297,293.97x = 66,187,495,274.47
  5. Step 5: Solve for x
    x = 66,187,495,274.47/297,293.97
  6. Step 6: Final answer
    x = 222,633.16

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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.