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Finding the Fourth Proportional to 312,324.12, 430,999.38 and 174,504.15

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Solution

The fourth proportional to 312,324.12, 430,999.38 and 174,504.15 is: 240,811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,324.12 : 430,999.38 = 174,504.15 : x
  2. Step 2: Convert to fraction form
    312,324.12/430,999.38 = 174,504.15/x
  3. Step 3: Cross multiply
    312,324.12x = 430,999.38 × 174,504.15
  4. Step 4: Simplify right side
    312,324.12x = 75,211,180,457.43
  5. Step 5: Solve for x
    x = 75,211,180,457.43/312,324.12
  6. Step 6: Final answer
    x = 240,811.31

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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.