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Finding the Fourth Proportional to 394,216, 543,379.20 and 308,024.32

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Solution

The fourth proportional to 394,216, 543,379.20 and 308,024.32 is: 424,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,216 : 543,379.20 = 308,024.32 : x
  2. Step 2: Convert to fraction form
    394,216/543,379.20 = 308,024.32/x
  3. Step 3: Cross multiply
    394,216x = 543,379.20 × 308,024.32
  4. Step 4: Simplify right side
    394,216x = 167,374,008,582.14
  5. Step 5: Solve for x
    x = 167,374,008,582.14/394,216
  6. Step 6: Final answer
    x = 424,574.37

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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.