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Finding the Fourth Proportional to 297,364.01, 410,362.79 and 161,398.01

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Solution

The fourth proportional to 297,364.01, 410,362.79 and 161,398.01 is: 222,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,364.01 : 410,362.79 = 161,398.01 : x
  2. Step 2: Convert to fraction form
    297,364.01/410,362.79 = 161,398.01/x
  3. Step 3: Cross multiply
    297,364.01x = 410,362.79 × 161,398.01
  4. Step 4: Simplify right side
    297,364.01x = 66,231,737,684.05
  5. Step 5: Solve for x
    x = 66,231,737,684.05/297,364.01
  6. Step 6: Final answer
    x = 222,729.50

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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.