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Finding the Fourth Proportional to 312,598.08, 468,898.27 and 75,940.76

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Solution

The fourth proportional to 312,598.08, 468,898.27 and 75,940.76 is: 113,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,598.08 : 468,898.27 = 75,940.76 : x
  2. Step 2: Convert to fraction form
    312,598.08/468,898.27 = 75,940.76/x
  3. Step 3: Cross multiply
    312,598.08x = 468,898.27 × 75,940.76
  4. Step 4: Simplify right side
    312,598.08x = 35,608,491,968.88
  5. Step 5: Solve for x
    x = 35,608,491,968.88/312,598.08
  6. Step 6: Final answer
    x = 113,911.42

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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.