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Finding the Fourth Proportional to 253,014.61, 379,584.21 and 178,280.68

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Solution

The fourth proportional to 253,014.61, 379,584.21 and 178,280.68 is: 267,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,014.61 : 379,584.21 = 178,280.68 : x
  2. Step 2: Convert to fraction form
    253,014.61/379,584.21 = 178,280.68/x
  3. Step 3: Cross multiply
    253,014.61x = 379,584.21 × 178,280.68
  4. Step 4: Simplify right side
    253,014.61x = 67,672,531,076.06
  5. Step 5: Solve for x
    x = 67,672,531,076.06/253,014.61
  6. Step 6: Final answer
    x = 267,464.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.