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Finding the Fourth Proportional to 272,804.48, 408,761.76 and 167,400.80

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Solution

The fourth proportional to 272,804.48, 408,761.76 and 167,400.80 is: 250,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,804.48 : 408,761.76 = 167,400.80 : x
  2. Step 2: Convert to fraction form
    272,804.48/408,761.76 = 167,400.80/x
  3. Step 3: Cross multiply
    272,804.48x = 408,761.76 × 167,400.80
  4. Step 4: Simplify right side
    272,804.48x = 68,427,045,633.41
  5. Step 5: Solve for x
    x = 68,427,045,633.41/272,804.48
  6. Step 6: Final answer
    x = 250,828.16

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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.