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Finding the Fourth Proportional to 380,025.80, 569,662.70 and 179,994.60

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Solution

The fourth proportional to 380,025.80, 569,662.70 and 179,994.60 is: 269,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,025.80 : 569,662.70 = 179,994.60 : x
  2. Step 2: Convert to fraction form
    380,025.80/569,662.70 = 179,994.60/x
  3. Step 3: Cross multiply
    380,025.80x = 569,662.70 × 179,994.60
  4. Step 4: Simplify right side
    380,025.80x = 102,536,209,821.42
  5. Step 5: Solve for x
    x = 102,536,209,821.42/380,025.80
  6. Step 6: Final answer
    x = 269,813.81

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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.