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Finding the Fourth Proportional to 297,683.18, 410,801.14 and 161,716.04

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Solution

The fourth proportional to 297,683.18, 410,801.14 and 161,716.04 is: 223,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,683.18 : 410,801.14 = 161,716.04 : x
  2. Step 2: Convert to fraction form
    297,683.18/410,801.14 = 161,716.04/x
  3. Step 3: Cross multiply
    297,683.18x = 410,801.14 × 161,716.04
  4. Step 4: Simplify right side
    297,683.18x = 66,433,131,129.99
  5. Step 5: Solve for x
    x = 66,433,131,129.99/297,683.18
  6. Step 6: Final answer
    x = 223,167.24

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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.