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Finding the Fourth Proportional to 386,391.81, 533,253.57 and 214,365.21

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Solution

The fourth proportional to 386,391.81, 533,253.57 and 214,365.21 is: 295,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,391.81 : 533,253.57 = 214,365.21 : x
  2. Step 2: Convert to fraction form
    386,391.81/533,253.57 = 214,365.21/x
  3. Step 3: Cross multiply
    386,391.81x = 533,253.57 × 214,365.21
  4. Step 4: Simplify right side
    386,391.81x = 114,311,009,778.21
  5. Step 5: Solve for x
    x = 114,311,009,778.21/386,391.81
  6. Step 6: Final answer
    x = 295,842.22

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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.