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Finding the Fourth Proportional to 321,732.49, 444,002.70 and 194,383.48

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Solution

The fourth proportional to 321,732.49, 444,002.70 and 194,383.48 is: 268,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,732.49 : 444,002.70 = 194,383.48 : x
  2. Step 2: Convert to fraction form
    321,732.49/444,002.70 = 194,383.48/x
  3. Step 3: Cross multiply
    321,732.49x = 444,002.70 × 194,383.48
  4. Step 4: Simplify right side
    321,732.49x = 86,306,789,955.40
  5. Step 5: Solve for x
    x = 86,306,789,955.40/321,732.49
  6. Step 6: Final answer
    x = 268,256.37

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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.