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Finding the Fourth Proportional to 299,178.68, 412,836.28 and 184,438.94

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Solution

The fourth proportional to 299,178.68, 412,836.28 and 184,438.94 is: 254,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,178.68 : 412,836.28 = 184,438.94 : x
  2. Step 2: Convert to fraction form
    299,178.68/412,836.28 = 184,438.94/x
  3. Step 3: Cross multiply
    299,178.68x = 412,836.28 × 184,438.94
  4. Step 4: Simplify right side
    299,178.68x = 76,143,083,351.46
  5. Step 5: Solve for x
    x = 76,143,083,351.46/299,178.68
  6. Step 6: Final answer
    x = 254,507.05

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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.