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Finding the Fourth Proportional to 312,793.11, 431,651.52 and 174,970.53

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Solution

The fourth proportional to 312,793.11, 431,651.52 and 174,970.53 is: 241,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,793.11 : 431,651.52 = 174,970.53 : x
  2. Step 2: Convert to fraction form
    312,793.11/431,651.52 = 174,970.53/x
  3. Step 3: Cross multiply
    312,793.11x = 431,651.52 × 174,970.53
  4. Step 4: Simplify right side
    312,793.11x = 75,526,295,229.71
  5. Step 5: Solve for x
    x = 75,526,295,229.71/312,793.11
  6. Step 6: Final answer
    x = 241,457.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.