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Finding the Fourth Proportional to 322,177.32, 444,639.98 and 184,369

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Solution

The fourth proportional to 322,177.32, 444,639.98 and 184,369 is: 254,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,177.32 : 444,639.98 = 184,369 : x
  2. Step 2: Convert to fraction form
    322,177.32/444,639.98 = 184,369/x
  3. Step 3: Cross multiply
    322,177.32x = 444,639.98 × 184,369
  4. Step 4: Simplify right side
    322,177.32x = 81,977,828,472.62
  5. Step 5: Solve for x
    x = 81,977,828,472.62/322,177.32
  6. Step 6: Final answer
    x = 254,449.41

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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.