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Finding the Fourth Proportional to 297,777, 410,997.08 and 183,154.20

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Solution

The fourth proportional to 297,777, 410,997.08 and 183,154.20 is: 252,792.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,777 : 410,997.08 = 183,154.20 : x
  2. Step 2: Convert to fraction form
    297,777/410,997.08 = 183,154.20/x
  3. Step 3: Cross multiply
    297,777x = 410,997.08 × 183,154.20
  4. Step 4: Simplify right side
    297,777x = 75,275,841,389.74
  5. Step 5: Solve for x
    x = 75,275,841,389.74/297,777
  6. Step 6: Final answer
    x = 252,792.66

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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.