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Finding the Fourth Proportional to 341,227.68, 470,895.83 and 188,265.86

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Solution

The fourth proportional to 341,227.68, 470,895.83 and 188,265.86 is: 259,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,227.68 : 470,895.83 = 188,265.86 : x
  2. Step 2: Convert to fraction form
    341,227.68/470,895.83 = 188,265.86/x
  3. Step 3: Cross multiply
    341,227.68x = 470,895.83 × 188,265.86
  4. Step 4: Simplify right side
    341,227.68x = 88,653,608,405.36
  5. Step 5: Solve for x
    x = 88,653,608,405.36/341,227.68
  6. Step 6: Final answer
    x = 259,807.79

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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.