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Finding the Fourth Proportional to 297,677.38, 410,795.58 and 161,710.22

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Solution

The fourth proportional to 297,677.38, 410,795.58 and 161,710.22 is: 223,160.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,677.38 : 410,795.58 = 161,710.22 : x
  2. Step 2: Convert to fraction form
    297,677.38/410,795.58 = 161,710.22/x
  3. Step 3: Cross multiply
    297,677.38x = 410,795.58 × 161,710.22
  4. Step 4: Simplify right side
    297,677.38x = 66,429,843,885.80
  5. Step 5: Solve for x
    x = 66,429,843,885.80/297,677.38
  6. Step 6: Final answer
    x = 223,160.54

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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.