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Finding the Fourth Proportional to 312,400.24, 431,114.34 and 169,161.48

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Solution

The fourth proportional to 312,400.24, 431,114.34 and 169,161.48 is: 233,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,400.24 : 431,114.34 = 169,161.48 : x
  2. Step 2: Convert to fraction form
    312,400.24/431,114.34 = 169,161.48/x
  3. Step 3: Cross multiply
    312,400.24x = 431,114.34 × 169,161.48
  4. Step 4: Simplify right side
    312,400.24x = 72,927,939,803.62
  5. Step 5: Solve for x
    x = 72,927,939,803.62/312,400.24
  6. Step 6: Final answer
    x = 233,443.93

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