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Finding the Fourth Proportional to 343,822.32, 515,732.76 and 193,994.64

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Solution

The fourth proportional to 343,822.32, 515,732.76 and 193,994.64 is: 290,991.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,822.32 : 515,732.76 = 193,994.64 : x
  2. Step 2: Convert to fraction form
    343,822.32/515,732.76 = 193,994.64/x
  3. Step 3: Cross multiply
    343,822.32x = 515,732.76 × 193,994.64
  4. Step 4: Simplify right side
    343,822.32x = 100,049,391,112.41
  5. Step 5: Solve for x
    x = 100,049,391,112.41/343,822.32
  6. Step 6: Final answer
    x = 290,991.55

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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.