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Finding the Fourth Proportional to 378,006.75, 567,021.06 and 97,524

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Solution

The fourth proportional to 378,006.75, 567,021.06 and 97,524 is: 146,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,006.75 : 567,021.06 = 97,524 : x
  2. Step 2: Convert to fraction form
    378,006.75/567,021.06 = 97,524/x
  3. Step 3: Cross multiply
    378,006.75x = 567,021.06 × 97,524
  4. Step 4: Simplify right side
    378,006.75x = 55,298,161,855.44
  5. Step 5: Solve for x
    x = 55,298,161,855.44/378,006.75
  6. Step 6: Final answer
    x = 146,288.82

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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.