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Finding the Fourth Proportional to 505,908.50, 698,193.42 and 288,126.34

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Solution

The fourth proportional to 505,908.50, 698,193.42 and 288,126.34 is: 397,636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,908.50 : 698,193.42 = 288,126.34 : x
  2. Step 2: Convert to fraction form
    505,908.50/698,193.42 = 288,126.34/x
  3. Step 3: Cross multiply
    505,908.50x = 698,193.42 × 288,126.34
  4. Step 4: Simplify right side
    505,908.50x = 201,167,914,716.68
  5. Step 5: Solve for x
    x = 201,167,914,716.68/505,908.50
  6. Step 6: Final answer
    x = 397,636.95

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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.