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Finding the Fourth Proportional to 409,084.30, 564,615.21 and 248,027.56

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Solution

The fourth proportional to 409,084.30, 564,615.21 and 248,027.56 is: 342,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,084.30 : 564,615.21 = 248,027.56 : x
  2. Step 2: Convert to fraction form
    409,084.30/564,615.21 = 248,027.56/x
  3. Step 3: Cross multiply
    409,084.30x = 564,615.21 × 248,027.56
  4. Step 4: Simplify right side
    409,084.30x = 140,040,132,875.19
  5. Step 5: Solve for x
    x = 140,040,132,875.19/409,084.30
  6. Step 6: Final answer
    x = 342,325.86

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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.