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Finding the Fourth Proportional to 298,491.68, 411,908.28 and 162,523.44

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Solution

The fourth proportional to 298,491.68, 411,908.28 and 162,523.44 is: 224,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,491.68 : 411,908.28 = 162,523.44 : x
  2. Step 2: Convert to fraction form
    298,491.68/411,908.28 = 162,523.44/x
  3. Step 3: Cross multiply
    298,491.68x = 411,908.28 × 162,523.44
  4. Step 4: Simplify right side
    298,491.68x = 66,944,750,630.08
  5. Step 5: Solve for x
    x = 66,944,750,630.08/298,491.68
  6. Step 6: Final answer
    x = 224,276.77

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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.