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Finding the Fourth Proportional to 298,395.56, 411,791.12 and 162,433.40

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Solution

The fourth proportional to 298,395.56, 411,791.12 and 162,433.40 is: 224,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,395.56 : 411,791.12 = 162,433.40 : x
  2. Step 2: Convert to fraction form
    298,395.56/411,791.12 = 162,433.40/x
  3. Step 3: Cross multiply
    298,395.56x = 411,791.12 × 162,433.40
  4. Step 4: Simplify right side
    298,395.56x = 66,888,631,711.41
  5. Step 5: Solve for x
    x = 66,888,631,711.41/298,395.56
  6. Step 6: Final answer
    x = 224,160.95

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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.