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Finding the Fourth Proportional to 322,176.32, 444,638.60 and 184,368

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Solution

The fourth proportional to 322,176.32, 444,638.60 and 184,368 is: 254,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,176.32 : 444,638.60 = 184,368 : x
  2. Step 2: Convert to fraction form
    322,176.32/444,638.60 = 184,368/x
  3. Step 3: Cross multiply
    322,176.32x = 444,638.60 × 184,368
  4. Step 4: Simplify right side
    322,176.32x = 81,977,129,404.80
  5. Step 5: Solve for x
    x = 81,977,129,404.80/322,176.32
  6. Step 6: Final answer
    x = 254,448.03

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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.