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Finding the Fourth Proportional to 284,939.14, 393,237.34 and 162,434.44

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Solution

The fourth proportional to 284,939.14, 393,237.34 and 162,434.44 is: 224,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,939.14 : 393,237.34 = 162,434.44 : x
  2. Step 2: Convert to fraction form
    284,939.14/393,237.34 = 162,434.44/x
  3. Step 3: Cross multiply
    284,939.14x = 393,237.34 × 162,434.44
  4. Step 4: Simplify right side
    284,939.14x = 63,875,287,109.99
  5. Step 5: Solve for x
    x = 63,875,287,109.99/284,939.14
  6. Step 6: Final answer
    x = 224,171.68

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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.