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Finding the Fourth Proportional to 384,141.85, 576,212.78 and 103,658.65

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Solution

The fourth proportional to 384,141.85, 576,212.78 and 103,658.65 is: 155,487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,141.85 : 576,212.78 = 103,658.65 : x
  2. Step 2: Convert to fraction form
    384,141.85/576,212.78 = 103,658.65/x
  3. Step 3: Cross multiply
    384,141.85x = 576,212.78 × 103,658.65
  4. Step 4: Simplify right side
    384,141.85x = 59,729,438,887.55
  5. Step 5: Solve for x
    x = 59,729,438,887.55/384,141.85
  6. Step 6: Final answer
    x = 155,487.98

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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.