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Finding the Fourth Proportional to 340,894.44, 470,431.67 and 185,845.73

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Solution

The fourth proportional to 340,894.44, 470,431.67 and 185,845.73 is: 256,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,894.44 : 470,431.67 = 185,845.73 : x
  2. Step 2: Convert to fraction form
    340,894.44/470,431.67 = 185,845.73/x
  3. Step 3: Cross multiply
    340,894.44x = 470,431.67 × 185,845.73
  4. Step 4: Simplify right side
    340,894.44x = 87,427,713,844.88
  5. Step 5: Solve for x
    x = 87,427,713,844.88/340,894.44
  6. Step 6: Final answer
    x = 256,465.65

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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.