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Finding the Fourth Proportional to 322,410.86, 444,917.63 and 184,585.18

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Solution

The fourth proportional to 322,410.86, 444,917.63 and 184,585.18 is: 254,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,410.86 : 444,917.63 = 184,585.18 : x
  2. Step 2: Convert to fraction form
    322,410.86/444,917.63 = 184,585.18/x
  3. Step 3: Cross multiply
    322,410.86x = 444,917.63 × 184,585.18
  4. Step 4: Simplify right side
    322,410.86x = 82,125,197,671.21
  5. Step 5: Solve for x
    x = 82,125,197,671.21/322,410.86
  6. Step 6: Final answer
    x = 254,722.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.