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Finding the Fourth Proportional to 386,302.41, 533,087.42 and 214,217.64

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Solution

The fourth proportional to 386,302.41, 533,087.42 and 214,217.64 is: 295,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,302.41 : 533,087.42 = 214,217.64 : x
  2. Step 2: Convert to fraction form
    386,302.41/533,087.42 = 214,217.64/x
  3. Step 3: Cross multiply
    386,302.41x = 533,087.42 × 214,217.64
  4. Step 4: Simplify right side
    386,302.41x = 114,196,727,955.00
  5. Step 5: Solve for x
    x = 114,196,727,955.00/386,302.41
  6. Step 6: Final answer
    x = 295,614.85

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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.