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Finding the Fourth Proportional to 409,892.10, 614,924.55 and 173,112.90

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Solution

The fourth proportional to 409,892.10, 614,924.55 and 173,112.90 is: 259,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,892.10 : 614,924.55 = 173,112.90 : x
  2. Step 2: Convert to fraction form
    409,892.10/614,924.55 = 173,112.90/x
  3. Step 3: Cross multiply
    409,892.10x = 614,924.55 × 173,112.90
  4. Step 4: Simplify right side
    409,892.10x = 106,451,372,131.70
  5. Step 5: Solve for x
    x = 106,451,372,131.70/409,892.10
  6. Step 6: Final answer
    x = 259,705.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.