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Finding the Fourth Proportional to 285,938.64, 394,601.13 and 171,222.30

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Solution

The fourth proportional to 285,938.64, 394,601.13 and 171,222.30 is: 236,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,938.64 : 394,601.13 = 171,222.30 : x
  2. Step 2: Convert to fraction form
    285,938.64/394,601.13 = 171,222.30/x
  3. Step 3: Cross multiply
    285,938.64x = 394,601.13 × 171,222.30
  4. Step 4: Simplify right side
    285,938.64x = 67,564,513,061.20
  5. Step 5: Solve for x
    x = 67,564,513,061.20/285,938.64
  6. Step 6: Final answer
    x = 236,290.25

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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.