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Finding the Fourth Proportional to 298,523.25, 411,956.19 and 162,558.87

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Solution

The fourth proportional to 298,523.25, 411,956.19 and 162,558.87 is: 224,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,523.25 : 411,956.19 = 162,558.87 : x
  2. Step 2: Convert to fraction form
    298,523.25/411,956.19 = 162,558.87/x
  3. Step 3: Cross multiply
    298,523.25x = 411,956.19 × 162,558.87
  4. Step 4: Simplify right side
    298,523.25x = 66,967,132,735.91
  5. Step 5: Solve for x
    x = 66,967,132,735.91/298,523.25
  6. Step 6: Final answer
    x = 224,328.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.