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Finding the Fourth Proportional to 585,745.20, 877,614.83 and 319,692.41

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Solution

The fourth proportional to 585,745.20, 877,614.83 and 319,692.41 is: 478,991.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,745.20 : 877,614.83 = 319,692.41 : x
  2. Step 2: Convert to fraction form
    585,745.20/877,614.83 = 319,692.41/x
  3. Step 3: Cross multiply
    585,745.20x = 877,614.83 × 319,692.41
  4. Step 4: Simplify right side
    585,745.20x = 280,566,794,067.90
  5. Step 5: Solve for x
    x = 280,566,794,067.90/585,745.20
  6. Step 6: Final answer
    x = 478,991.20

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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.