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Finding the Fourth Proportional to 299,223.36, 412,871.85 and 178,375.88

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Solution

The fourth proportional to 299,223.36, 412,871.85 and 178,375.88 is: 246,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,223.36 : 412,871.85 = 178,375.88 : x
  2. Step 2: Convert to fraction form
    299,223.36/412,871.85 = 178,375.88/x
  3. Step 3: Cross multiply
    299,223.36x = 412,871.85 × 178,375.88
  4. Step 4: Simplify right side
    299,223.36x = 73,646,380,603.16
  5. Step 5: Solve for x
    x = 73,646,380,603.16/299,223.36
  6. Step 6: Final answer
    x = 246,125.10

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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.