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Finding the Fourth Proportional to 654,892.62, 982,338.96 and 181,578

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Solution

The fourth proportional to 654,892.62, 982,338.96 and 181,578 is: 272,367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,892.62 : 982,338.96 = 181,578 : x
  2. Step 2: Convert to fraction form
    654,892.62/982,338.96 = 181,578/x
  3. Step 3: Cross multiply
    654,892.62x = 982,338.96 × 181,578
  4. Step 4: Simplify right side
    654,892.62x = 178,371,143,678.88
  5. Step 5: Solve for x
    x = 178,371,143,678.88/654,892.62
  6. Step 6: Final answer
    x = 272,367.01

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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.