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Finding the Fourth Proportional to 409,076.52, 564,375.78 and 247,815.24

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Solution

The fourth proportional to 409,076.52, 564,375.78 and 247,815.24 is: 341,894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,076.52 : 564,375.78 = 247,815.24 : x
  2. Step 2: Convert to fraction form
    409,076.52/564,375.78 = 247,815.24/x
  3. Step 3: Cross multiply
    409,076.52x = 564,375.78 × 247,815.24
  4. Step 4: Simplify right side
    409,076.52x = 139,860,919,370.89
  5. Step 5: Solve for x
    x = 139,860,919,370.89/409,076.52
  6. Step 6: Final answer
    x = 341,894.27

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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.