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Finding the Fourth Proportional to 297,490.32, 410,540.91 and 161,524.53

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Solution

The fourth proportional to 297,490.32, 410,540.91 and 161,524.53 is: 222,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,490.32 : 410,540.91 = 161,524.53 : x
  2. Step 2: Convert to fraction form
    297,490.32/410,540.91 = 161,524.53/x
  3. Step 3: Cross multiply
    297,490.32x = 410,540.91 × 161,524.53
  4. Step 4: Simplify right side
    297,490.32x = 66,312,426,927.81
  5. Step 5: Solve for x
    x = 66,312,426,927.81/297,490.32
  6. Step 6: Final answer
    x = 222,906.17

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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.