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Finding the Fourth Proportional to 298,965.24, 447,940.44 and 180,387.54

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Solution

The fourth proportional to 298,965.24, 447,940.44 and 180,387.54 is: 270,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,965.24 : 447,940.44 = 180,387.54 : x
  2. Step 2: Convert to fraction form
    298,965.24/447,940.44 = 180,387.54/x
  3. Step 3: Cross multiply
    298,965.24x = 447,940.44 × 180,387.54
  4. Step 4: Simplify right side
    298,965.24x = 80,802,874,038.12
  5. Step 5: Solve for x
    x = 80,802,874,038.12/298,965.24
  6. Step 6: Final answer
    x = 270,275.15

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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.