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Finding the Fourth Proportional to 442,907.10, 664,360.65 and 413,163.90

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Solution

The fourth proportional to 442,907.10, 664,360.65 and 413,163.90 is: 619,745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,907.10 : 664,360.65 = 413,163.90 : x
  2. Step 2: Convert to fraction form
    442,907.10/664,360.65 = 413,163.90/x
  3. Step 3: Cross multiply
    442,907.10x = 664,360.65 × 413,163.90
  4. Step 4: Simplify right side
    442,907.10x = 274,489,837,160.54
  5. Step 5: Solve for x
    x = 274,489,837,160.54/442,907.10
  6. Step 6: Final answer
    x = 619,745.85

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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.