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Finding the Fourth Proportional to 310,543.27, 465,676.49 and 216,378.54

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Solution

The fourth proportional to 310,543.27, 465,676.49 and 216,378.54 is: 324,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,543.27 : 465,676.49 = 216,378.54 : x
  2. Step 2: Convert to fraction form
    310,543.27/465,676.49 = 216,378.54/x
  3. Step 3: Cross multiply
    310,543.27x = 465,676.49 × 216,378.54
  4. Step 4: Simplify right side
    310,543.27x = 100,762,399,559.47
  5. Step 5: Solve for x
    x = 100,762,399,559.47/310,543.27
  6. Step 6: Final answer
    x = 324,471.37

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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.