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Finding the Fourth Proportional to 290,034.54, 400,246.74 and 160,992.54

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Solution

The fourth proportional to 290,034.54, 400,246.74 and 160,992.54 is: 222,169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,034.54 : 400,246.74 = 160,992.54 : x
  2. Step 2: Convert to fraction form
    290,034.54/400,246.74 = 160,992.54/x
  3. Step 3: Cross multiply
    290,034.54x = 400,246.74 × 160,992.54
  4. Step 4: Simplify right side
    290,034.54x = 64,436,739,299.32
  5. Step 5: Solve for x
    x = 64,436,739,299.32/290,034.54
  6. Step 6: Final answer
    x = 222,169.19

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1.5x scale

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.