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Finding the Fourth Proportional to 297,617.74, 410,715.47 and 161,654.34

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Solution

The fourth proportional to 297,617.74, 410,715.47 and 161,654.34 is: 223,084.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,617.74 : 410,715.47 = 161,654.34 : x
  2. Step 2: Convert to fraction form
    297,617.74/410,715.47 = 161,654.34/x
  3. Step 3: Cross multiply
    297,617.74x = 410,715.47 × 161,654.34
  4. Step 4: Simplify right side
    297,617.74x = 66,393,938,230.64
  5. Step 5: Solve for x
    x = 66,393,938,230.64/297,617.74
  6. Step 6: Final answer
    x = 223,084.61

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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.