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Finding the Fourth Proportional to 409,076.60, 564,594.54 and 263,841.56

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Solution

The fourth proportional to 409,076.60, 564,594.54 and 263,841.56 is: 364,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,076.60 : 564,594.54 = 263,841.56 : x
  2. Step 2: Convert to fraction form
    409,076.60/564,594.54 = 263,841.56/x
  3. Step 3: Cross multiply
    409,076.60x = 564,594.54 × 263,841.56
  4. Step 4: Simplify right side
    409,076.60x = 148,963,504,201.08
  5. Step 5: Solve for x
    x = 148,963,504,201.08/409,076.60
  6. Step 6: Final answer
    x = 364,145.75

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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.