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Finding the Fourth Proportional to 340,809.92, 511,035.36 and 180,975.44

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Solution

The fourth proportional to 340,809.92, 511,035.36 and 180,975.44 is: 271,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,809.92 : 511,035.36 = 180,975.44 : x
  2. Step 2: Convert to fraction form
    340,809.92/511,035.36 = 180,975.44/x
  3. Step 3: Cross multiply
    340,809.92x = 511,035.36 × 180,975.44
  4. Step 4: Simplify right side
    340,809.92x = 92,484,849,131.56
  5. Step 5: Solve for x
    x = 92,484,849,131.56/340,809.92
  6. Step 6: Final answer
    x = 271,367.83

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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.