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Finding the Fourth Proportional to 343,758.78, 474,383.50 and 190,798.28

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Solution

The fourth proportional to 343,758.78, 474,383.50 and 190,798.28 is: 263,299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,758.78 : 474,383.50 = 190,798.28 : x
  2. Step 2: Convert to fraction form
    343,758.78/474,383.50 = 190,798.28/x
  3. Step 3: Cross multiply
    343,758.78x = 474,383.50 × 190,798.28
  4. Step 4: Simplify right side
    343,758.78x = 90,511,555,860.38
  5. Step 5: Solve for x
    x = 90,511,555,860.38/343,758.78
  6. Step 6: Final answer
    x = 263,299.62

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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.