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Finding the Fourth Proportional to 384,393.48, 576,592.26 and 252,111.42

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Solution

The fourth proportional to 384,393.48, 576,592.26 and 252,111.42 is: 378,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,393.48 : 576,592.26 = 252,111.42 : x
  2. Step 2: Convert to fraction form
    384,393.48/576,592.26 = 252,111.42/x
  3. Step 3: Cross multiply
    384,393.48x = 576,592.26 × 252,111.42
  4. Step 4: Simplify right side
    384,393.48x = 145,365,493,429.61
  5. Step 5: Solve for x
    x = 145,365,493,429.61/384,393.48
  6. Step 6: Final answer
    x = 378,168.47

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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.