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Finding the Fourth Proportional to 409,214.59, 564,744.52 and 248,076.43

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Solution

The fourth proportional to 409,214.59, 564,744.52 and 248,076.43 is: 342,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,214.59 : 564,744.52 = 248,076.43 : x
  2. Step 2: Convert to fraction form
    409,214.59/564,744.52 = 248,076.43/x
  3. Step 3: Cross multiply
    409,214.59x = 564,744.52 × 248,076.43
  4. Step 4: Simplify right side
    409,214.59x = 140,099,801,559.94
  5. Step 5: Solve for x
    x = 140,099,801,559.94/409,214.59
  6. Step 6: Final answer
    x = 342,362.68

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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.