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Finding the Fourth Proportional to 284,670, 392,844.60 and 171,516.24

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Solution

The fourth proportional to 284,670, 392,844.60 and 171,516.24 is: 236,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,670 : 392,844.60 = 171,516.24 : x
  2. Step 2: Convert to fraction form
    284,670/392,844.60 = 171,516.24/x
  3. Step 3: Cross multiply
    284,670x = 392,844.60 × 171,516.24
  4. Step 4: Simplify right side
    284,670x = 67,379,228,696.30
  5. Step 5: Solve for x
    x = 67,379,228,696.30/284,670
  6. Step 6: Final answer
    x = 236,692.41

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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.