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Finding the Fourth Proportional to 341,384.78, 471,110.64 and 190,481.78

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Solution

The fourth proportional to 341,384.78, 471,110.64 and 190,481.78 is: 262,864.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,384.78 : 471,110.64 = 190,481.78 : x
  2. Step 2: Convert to fraction form
    341,384.78/471,110.64 = 190,481.78/x
  3. Step 3: Cross multiply
    341,384.78x = 471,110.64 × 190,481.78
  4. Step 4: Simplify right side
    341,384.78x = 89,737,993,284.14
  5. Step 5: Solve for x
    x = 89,737,993,284.14/341,384.78
  6. Step 6: Final answer
    x = 262,864.66

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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.