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Finding the Fourth Proportional to 312,832.41, 469,365.88 and 144,433.41

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Solution

The fourth proportional to 312,832.41, 469,365.88 and 144,433.41 is: 216,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,832.41 : 469,365.88 = 144,433.41 : x
  2. Step 2: Convert to fraction form
    312,832.41/469,365.88 = 144,433.41/x
  3. Step 3: Cross multiply
    312,832.41x = 469,365.88 × 144,433.41
  4. Step 4: Simplify right side
    312,832.41x = 67,792,114,586.05
  5. Step 5: Solve for x
    x = 67,792,114,586.05/312,832.41
  6. Step 6: Final answer
    x = 216,704.26

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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.