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Finding the Fourth Proportional to 505,142.37, 697,095.05 and 278,786.25

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Solution

The fourth proportional to 505,142.37, 697,095.05 and 278,786.25 is: 384,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,142.37 : 697,095.05 = 278,786.25 : x
  2. Step 2: Convert to fraction form
    505,142.37/697,095.05 = 278,786.25/x
  3. Step 3: Cross multiply
    505,142.37x = 697,095.05 × 278,786.25
  4. Step 4: Simplify right side
    505,142.37x = 194,340,513,489.13
  5. Step 5: Solve for x
    x = 194,340,513,489.13/505,142.37
  6. Step 6: Final answer
    x = 384,724.24

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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.