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Finding the Fourth Proportional to 386,329.92, 533,167.56 and 214,301.85

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Solution

The fourth proportional to 386,329.92, 533,167.56 and 214,301.85 is: 295,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,329.92 : 533,167.56 = 214,301.85 : x
  2. Step 2: Convert to fraction form
    386,329.92/533,167.56 = 214,301.85/x
  3. Step 3: Cross multiply
    386,329.92x = 533,167.56 × 214,301.85
  4. Step 4: Simplify right side
    386,329.92x = 114,258,794,467.99
  5. Step 5: Solve for x
    x = 114,258,794,467.99/386,329.92
  6. Step 6: Final answer
    x = 295,754.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.