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Finding the Fourth Proportional to 321,746.78, 444,056.46 and 185,753.54

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Solution

The fourth proportional to 321,746.78, 444,056.46 and 185,753.54 is: 256,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,746.78 : 444,056.46 = 185,753.54 : x
  2. Step 2: Convert to fraction form
    321,746.78/444,056.46 = 185,753.54/x
  3. Step 3: Cross multiply
    321,746.78x = 444,056.46 × 185,753.54
  4. Step 4: Simplify right side
    321,746.78x = 82,485,059,404.87
  5. Step 5: Solve for x
    x = 82,485,059,404.87/321,746.78
  6. Step 6: Final answer
    x = 256,366.39

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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.