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Finding the Fourth Proportional to 298,295.91, 447,443.87 and 85,068.27

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Solution

The fourth proportional to 298,295.91, 447,443.87 and 85,068.27 is: 127,602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,295.91 : 447,443.87 = 85,068.27 : x
  2. Step 2: Convert to fraction form
    298,295.91/447,443.87 = 85,068.27/x
  3. Step 3: Cross multiply
    298,295.91x = 447,443.87 × 85,068.27
  4. Step 4: Simplify right side
    298,295.91x = 38,063,275,517.66
  5. Step 5: Solve for x
    x = 38,063,275,517.66/298,295.91
  6. Step 6: Final answer
    x = 127,602.41

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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.