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Finding the Fourth Proportional to 272,596.40, 408,719.52 and 178,992.80

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Solution

The fourth proportional to 272,596.40, 408,719.52 and 178,992.80 is: 268,374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,596.40 : 408,719.52 = 178,992.80 : x
  2. Step 2: Convert to fraction form
    272,596.40/408,719.52 = 178,992.80/x
  3. Step 3: Cross multiply
    272,596.40x = 408,719.52 × 178,992.80
  4. Step 4: Simplify right side
    272,596.40x = 73,157,851,299.46
  5. Step 5: Solve for x
    x = 73,157,851,299.46/272,596.40
  6. Step 6: Final answer
    x = 268,374.24

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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.