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Finding the Fourth Proportional to 297,783.66, 410,941.14 and 161,817.28

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Solution

The fourth proportional to 297,783.66, 410,941.14 and 161,817.28 is: 223,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,783.66 : 410,941.14 = 161,817.28 : x
  2. Step 2: Convert to fraction form
    297,783.66/410,941.14 = 161,817.28/x
  3. Step 3: Cross multiply
    297,783.66x = 410,941.14 × 161,817.28
  4. Step 4: Simplify right side
    297,783.66x = 66,497,377,514.90
  5. Step 5: Solve for x
    x = 66,497,377,514.90/297,783.66
  6. Step 6: Final answer
    x = 223,307.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.