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Finding the Fourth Proportional to 318,840.20, 440,019.38 and 175,600.20

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Solution

The fourth proportional to 318,840.20, 440,019.38 and 175,600.20 is: 242,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,840.20 : 440,019.38 = 175,600.20 : x
  2. Step 2: Convert to fraction form
    318,840.20/440,019.38 = 175,600.20/x
  3. Step 3: Cross multiply
    318,840.20x = 440,019.38 × 175,600.20
  4. Step 4: Simplify right side
    318,840.20x = 77,267,491,131.88
  5. Step 5: Solve for x
    x = 77,267,491,131.88/318,840.20
  6. Step 6: Final answer
    x = 242,339.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.