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Finding the Fourth Proportional to 297,296.59, 410,267.22 and 161,327.08

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Solution

The fourth proportional to 297,296.59, 410,267.22 and 161,327.08 is: 222,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,296.59 : 410,267.22 = 161,327.08 : x
  2. Step 2: Convert to fraction form
    297,296.59/410,267.22 = 161,327.08/x
  3. Step 3: Cross multiply
    297,296.59x = 410,267.22 × 161,327.08
  4. Step 4: Simplify right side
    297,296.59x = 66,187,212,622.32
  5. Step 5: Solve for x
    x = 66,187,212,622.32/297,296.59
  6. Step 6: Final answer
    x = 222,630.24

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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.