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Finding the Fourth Proportional to 298,033.76, 447,049.28 and 120,538.56

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Solution

The fourth proportional to 298,033.76, 447,049.28 and 120,538.56 is: 180,807.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,033.76 : 447,049.28 = 120,538.56 : x
  2. Step 2: Convert to fraction form
    298,033.76/447,049.28 = 120,538.56/x
  3. Step 3: Cross multiply
    298,033.76x = 447,049.28 × 120,538.56
  4. Step 4: Simplify right side
    298,033.76x = 53,886,676,460.24
  5. Step 5: Solve for x
    x = 53,886,676,460.24/298,033.76
  6. Step 6: Final answer
    x = 180,807.29

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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.