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Finding the Fourth Proportional to 505,137.12, 697,087.80 and 278,781

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Solution

The fourth proportional to 505,137.12, 697,087.80 and 278,781 is: 384,716.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,137.12 : 697,087.80 = 278,781 : x
  2. Step 2: Convert to fraction form
    505,137.12/697,087.80 = 278,781/x
  3. Step 3: Cross multiply
    505,137.12x = 697,087.80 × 278,781
  4. Step 4: Simplify right side
    505,137.12x = 194,334,833,971.80
  5. Step 5: Solve for x
    x = 194,334,833,971.80/505,137.12
  6. Step 6: Final answer
    x = 384,716.99

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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.