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Finding the Fourth Proportional to 386,606.50, 533,491.33 and 214,513.55

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Solution

The fourth proportional to 386,606.50, 533,491.33 and 214,513.55 is: 296,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,606.50 : 533,491.33 = 214,513.55 : x
  2. Step 2: Convert to fraction form
    386,606.50/533,491.33 = 214,513.55/x
  3. Step 3: Cross multiply
    386,606.50x = 533,491.33 × 214,513.55
  4. Step 4: Simplify right side
    386,606.50x = 114,441,118,019.95
  5. Step 5: Solve for x
    x = 114,441,118,019.95/386,606.50
  6. Step 6: Final answer
    x = 296,014.47

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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.