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Finding the Fourth Proportional to 403,710.91, 605,684.78 and 119,408.96

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Solution

The fourth proportional to 403,710.91, 605,684.78 and 119,408.96 is: 179,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,710.91 : 605,684.78 = 119,408.96 : x
  2. Step 2: Convert to fraction form
    403,710.91/605,684.78 = 119,408.96/x
  3. Step 3: Cross multiply
    403,710.91x = 605,684.78 × 119,408.96
  4. Step 4: Simplify right side
    403,710.91x = 72,324,186,937.73
  5. Step 5: Solve for x
    x = 72,324,186,937.73/403,710.91
  6. Step 6: Final answer
    x = 179,148.46

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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.