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Finding the Fourth Proportional to 383,379.41, 575,069.03 and 102,896.66

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Solution

The fourth proportional to 383,379.41, 575,069.03 and 102,896.66 is: 154,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,379.41 : 575,069.03 = 102,896.66 : x
  2. Step 2: Convert to fraction form
    383,379.41/575,069.03 = 102,896.66/x
  3. Step 3: Cross multiply
    383,379.41x = 575,069.03 × 102,896.66
  4. Step 4: Simplify right side
    383,379.41x = 59,172,683,765.49
  5. Step 5: Solve for x
    x = 59,172,683,765.49/383,379.41
  6. Step 6: Final answer
    x = 154,344.97

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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.