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Finding the Fourth Proportional to 272,580.84, 408,696.30 and 178,977.24

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Solution

The fourth proportional to 272,580.84, 408,696.30 and 178,977.24 is: 268,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,580.84 : 408,696.30 = 178,977.24 : x
  2. Step 2: Convert to fraction form
    272,580.84/408,696.30 = 178,977.24/x
  3. Step 3: Cross multiply
    272,580.84x = 408,696.30 × 178,977.24
  4. Step 4: Simplify right side
    272,580.84x = 73,147,335,772.21
  5. Step 5: Solve for x
    x = 73,147,335,772.21/272,580.84
  6. Step 6: Final answer
    x = 268,350.98

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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.