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Finding the Fourth Proportional to 384,596.54, 576,895.25 and 100,286.84

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Solution

The fourth proportional to 384,596.54, 576,895.25 and 100,286.84 is: 150,430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,596.54 : 576,895.25 = 100,286.84 : x
  2. Step 2: Convert to fraction form
    384,596.54/576,895.25 = 100,286.84/x
  3. Step 3: Cross multiply
    384,596.54x = 576,895.25 × 100,286.84
  4. Step 4: Simplify right side
    384,596.54x = 57,854,998,247.60
  5. Step 5: Solve for x
    x = 57,854,998,247.60/384,596.54
  6. Step 6: Final answer
    x = 150,430.37

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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.