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Finding the Fourth Proportional to 299,079.30, 412,867.64 and 184,378.44

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Solution

The fourth proportional to 299,079.30, 412,867.64 and 184,378.44 is: 254,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,079.30 : 412,867.64 = 184,378.44 : x
  2. Step 2: Convert to fraction form
    299,079.30/412,867.64 = 184,378.44/x
  3. Step 3: Cross multiply
    299,079.30x = 412,867.64 × 184,378.44
  4. Step 4: Simplify right side
    299,079.30x = 76,123,891,389.68
  5. Step 5: Solve for x
    x = 76,123,891,389.68/299,079.30
  6. Step 6: Final answer
    x = 254,527.45

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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.