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Finding the Fourth Proportional to 253,014.48, 379,584 and 178,280.58

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Solution

The fourth proportional to 253,014.48, 379,584 and 178,280.58 is: 267,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,014.48 : 379,584 = 178,280.58 : x
  2. Step 2: Convert to fraction form
    253,014.48/379,584 = 178,280.58/x
  3. Step 3: Cross multiply
    253,014.48x = 379,584 × 178,280.58
  4. Step 4: Simplify right side
    253,014.48x = 67,672,455,678.72
  5. Step 5: Solve for x
    x = 67,672,455,678.72/253,014.48
  6. Step 6: Final answer
    x = 267,464.75

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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.