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Finding the Fourth Proportional to 343,314.20, 515,113.56 and 185,357

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Solution

The fourth proportional to 343,314.20, 515,113.56 and 185,357 is: 278,112.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,314.20 : 515,113.56 = 185,357 : x
  2. Step 2: Convert to fraction form
    343,314.20/515,113.56 = 185,357/x
  3. Step 3: Cross multiply
    343,314.20x = 515,113.56 × 185,357
  4. Step 4: Simplify right side
    343,314.20x = 95,479,904,140.92
  5. Step 5: Solve for x
    x = 95,479,904,140.92/343,314.20
  6. Step 6: Final answer
    x = 278,112.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.