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Finding the Fourth Proportional to 576,586.48, 864,882.80 and 378,163.40

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Solution

The fourth proportional to 576,586.48, 864,882.80 and 378,163.40 is: 567,247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,586.48 : 864,882.80 = 378,163.40 : x
  2. Step 2: Convert to fraction form
    576,586.48/864,882.80 = 378,163.40/x
  3. Step 3: Cross multiply
    576,586.48x = 864,882.80 × 378,163.40
  4. Step 4: Simplify right side
    576,586.48x = 327,067,020,249.52
  5. Step 5: Solve for x
    x = 327,067,020,249.52/576,586.48
  6. Step 6: Final answer
    x = 567,247.12

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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.