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Finding the Fourth Proportional to 654,964.34, 982,446.44 and 181,649.68

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Solution

The fourth proportional to 654,964.34, 982,446.44 and 181,649.68 is: 272,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,964.34 : 982,446.44 = 181,649.68 : x
  2. Step 2: Convert to fraction form
    654,964.34/982,446.44 = 181,649.68/x
  3. Step 3: Cross multiply
    654,964.34x = 982,446.44 × 181,649.68
  4. Step 4: Simplify right side
    654,964.34x = 178,461,081,443.14
  5. Step 5: Solve for x
    x = 178,461,081,443.14/654,964.34
  6. Step 6: Final answer
    x = 272,474.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.