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Finding the Fourth Proportional to 364,306.97, 546,496.90 and 111,584.54

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Solution

The fourth proportional to 364,306.97, 546,496.90 and 111,584.54 is: 167,387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,306.97 : 546,496.90 = 111,584.54 : x
  2. Step 2: Convert to fraction form
    364,306.97/546,496.90 = 111,584.54/x
  3. Step 3: Cross multiply
    364,306.97x = 546,496.90 × 111,584.54
  4. Step 4: Simplify right side
    364,306.97x = 60,980,603,524.99
  5. Step 5: Solve for x
    x = 60,980,603,524.99/364,306.97
  6. Step 6: Final answer
    x = 167,387.97

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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.