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Finding the Fourth Proportional to 298,523.14, 411,972.12 and 162,559.42

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Solution

The fourth proportional to 298,523.14, 411,972.12 and 162,559.42 is: 224,337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,523.14 : 411,972.12 = 162,559.42 : x
  2. Step 2: Convert to fraction form
    298,523.14/411,972.12 = 162,559.42/x
  3. Step 3: Cross multiply
    298,523.14x = 411,972.12 × 162,559.42
  4. Step 4: Simplify right side
    298,523.14x = 66,969,948,883.37
  5. Step 5: Solve for x
    x = 66,969,948,883.37/298,523.14
  6. Step 6: Final answer
    x = 224,337.55

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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.