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Finding the Fourth Proportional to 378,381.32, 567,630.30 and 129,005

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Solution

The fourth proportional to 378,381.32, 567,630.30 and 129,005 is: 193,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,381.32 : 567,630.30 = 129,005 : x
  2. Step 2: Convert to fraction form
    378,381.32/567,630.30 = 129,005/x
  3. Step 3: Cross multiply
    378,381.32x = 567,630.30 × 129,005
  4. Step 4: Simplify right side
    378,381.32x = 73,227,146,851.50
  5. Step 5: Solve for x
    x = 73,227,146,851.50/378,381.32
  6. Step 6: Final answer
    x = 193,527.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.