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Finding the Fourth Proportional to 312,932.91, 469,483.63 and 161,047.25

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Solution

The fourth proportional to 312,932.91, 469,483.63 and 161,047.25 is: 241,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,932.91 : 469,483.63 = 161,047.25 : x
  2. Step 2: Convert to fraction form
    312,932.91/469,483.63 = 161,047.25/x
  3. Step 3: Cross multiply
    312,932.91x = 469,483.63 × 161,047.25
  4. Step 4: Simplify right side
    312,932.91x = 75,609,046,542.04
  5. Step 5: Solve for x
    x = 75,609,046,542.04/312,932.91
  6. Step 6: Final answer
    x = 241,614.23

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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.