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Finding the Fourth Proportional to 677,924.86, 1,017,219 and 273,100.24

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Solution

The fourth proportional to 677,924.86, 1,017,219 and 273,100.24 is: 409,783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,924.86 : 1,017,219 = 273,100.24 : x
  2. Step 2: Convert to fraction form
    677,924.86/1,017,219 = 273,100.24/x
  3. Step 3: Cross multiply
    677,924.86x = 1,017,219 × 273,100.24
  4. Step 4: Simplify right side
    677,924.86x = 277,802,753,032.56
  5. Step 5: Solve for x
    x = 277,802,753,032.56/677,924.86
  6. Step 6: Final answer
    x = 409,783.99

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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.