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Finding the Fourth Proportional to 272,417.46, 408,932.37 and 114,778.50

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Solution

The fourth proportional to 272,417.46, 408,932.37 and 114,778.50 is: 172,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,417.46 : 408,932.37 = 114,778.50 : x
  2. Step 2: Convert to fraction form
    272,417.46/408,932.37 = 114,778.50/x
  3. Step 3: Cross multiply
    272,417.46x = 408,932.37 × 114,778.50
  4. Step 4: Simplify right side
    272,417.46x = 46,936,644,030.05
  5. Step 5: Solve for x
    x = 46,936,644,030.05/272,417.46
  6. Step 6: Final answer
    x = 172,296.75

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