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Finding the Fourth Proportional to 293,879, 405,597.35 and 179,224.16

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Solution

The fourth proportional to 293,879, 405,597.35 and 179,224.16 is: 247,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,879 : 405,597.35 = 179,224.16 : x
  2. Step 2: Convert to fraction form
    293,879/405,597.35 = 179,224.16/x
  3. Step 3: Cross multiply
    293,879x = 405,597.35 × 179,224.16
  4. Step 4: Simplify right side
    293,879x = 72,692,844,351.98
  5. Step 5: Solve for x
    x = 72,692,844,351.98/293,879
  6. Step 6: Final answer
    x = 247,356.38

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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.