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Finding the Fourth Proportional to 409,220.78, 564,635.60 and 248,115.42

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Solution

The fourth proportional to 409,220.78, 564,635.60 and 248,115.42 is: 342,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,220.78 : 564,635.60 = 248,115.42 : x
  2. Step 2: Convert to fraction form
    409,220.78/564,635.60 = 248,115.42/x
  3. Step 3: Cross multiply
    409,220.78x = 564,635.60 × 248,115.42
  4. Step 4: Simplify right side
    409,220.78x = 140,094,797,800.38
  5. Step 5: Solve for x
    x = 140,094,797,800.38/409,220.78
  6. Step 6: Final answer
    x = 342,345.27

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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.