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Finding the Fourth Proportional to 600,351.78, 828,530.44 and 342,234.88

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Solution

The fourth proportional to 600,351.78, 828,530.44 and 342,234.88 is: 472,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,351.78 : 828,530.44 = 342,234.88 : x
  2. Step 2: Convert to fraction form
    600,351.78/828,530.44 = 342,234.88/x
  3. Step 3: Cross multiply
    600,351.78x = 828,530.44 × 342,234.88
  4. Step 4: Simplify right side
    600,351.78x = 283,552,015,709.75
  5. Step 5: Solve for x
    x = 283,552,015,709.75/600,351.78
  6. Step 6: Final answer
    x = 472,309.78

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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.