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Finding the Fourth Proportional to 322,085.81, 444,519.43 and 194,762.32

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Solution

The fourth proportional to 322,085.81, 444,519.43 and 194,762.32 is: 268,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,085.81 : 444,519.43 = 194,762.32 : x
  2. Step 2: Convert to fraction form
    322,085.81/444,519.43 = 194,762.32/x
  3. Step 3: Cross multiply
    322,085.81x = 444,519.43 × 194,762.32
  4. Step 4: Simplify right side
    322,085.81x = 86,575,633,873.67
  5. Step 5: Solve for x
    x = 86,575,633,873.67/322,085.81
  6. Step 6: Final answer
    x = 268,796.79

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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.