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Finding the Fourth Proportional to 297,405.20, 410,408.01 and 161,436.23

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Solution

The fourth proportional to 297,405.20, 410,408.01 and 161,436.23 is: 222,775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,405.20 : 410,408.01 = 161,436.23 : x
  2. Step 2: Convert to fraction form
    297,405.20/410,408.01 = 161,436.23/x
  3. Step 3: Cross multiply
    297,405.20x = 410,408.01 × 161,436.23
  4. Step 4: Simplify right side
    297,405.20x = 66,254,719,844.16
  5. Step 5: Solve for x
    x = 66,254,719,844.16/297,405.20
  6. Step 6: Final answer
    x = 222,775.93

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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.