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Finding the Fourth Proportional to 297,393.46, 410,403.37 and 161,427.32

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Solution

The fourth proportional to 297,393.46, 410,403.37 and 161,427.32 is: 222,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,393.46 : 410,403.37 = 161,427.32 : x
  2. Step 2: Convert to fraction form
    297,393.46/410,403.37 = 161,427.32/x
  3. Step 3: Cross multiply
    297,393.46x = 410,403.37 × 161,427.32
  4. Step 4: Simplify right side
    297,393.46x = 66,250,316,138.07
  5. Step 5: Solve for x
    x = 66,250,316,138.07/297,393.46
  6. Step 6: Final answer
    x = 222,769.92

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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.