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Finding the Fourth Proportional to 505,144.62, 697,098.15 and 278,788.50

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Solution

The fourth proportional to 505,144.62, 697,098.15 and 278,788.50 is: 384,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,144.62 : 697,098.15 = 278,788.50 : x
  2. Step 2: Convert to fraction form
    505,144.62/697,098.15 = 278,788.50/x
  3. Step 3: Cross multiply
    505,144.62x = 697,098.15 × 278,788.50
  4. Step 4: Simplify right side
    505,144.62x = 194,342,947,591.28
  5. Step 5: Solve for x
    x = 194,342,947,591.28/505,144.62
  6. Step 6: Final answer
    x = 384,727.34

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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.