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Finding the Fourth Proportional to 386,641, 533,563.49 and 214,584.94

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Solution

The fourth proportional to 386,641, 533,563.49 and 214,584.94 is: 296,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,641 : 533,563.49 = 214,584.94 : x
  2. Step 2: Convert to fraction form
    386,641/533,563.49 = 214,584.94/x
  3. Step 3: Cross multiply
    386,641x = 533,563.49 × 214,584.94
  4. Step 4: Simplify right side
    386,641x = 114,494,689,487.84
  5. Step 5: Solve for x
    x = 114,494,689,487.84/386,641
  6. Step 6: Final answer
    x = 296,126.61

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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.