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Finding the Fourth Proportional to 654,993.43, 982,490.08 and 181,678.81

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Solution

The fourth proportional to 654,993.43, 982,490.08 and 181,678.81 is: 272,518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,993.43 : 982,490.08 = 181,678.81 : x
  2. Step 2: Convert to fraction form
    654,993.43/982,490.08 = 181,678.81/x
  3. Step 3: Cross multiply
    654,993.43x = 982,490.08 × 181,678.81
  4. Step 4: Simplify right side
    654,993.43x = 178,497,628,571.21
  5. Step 5: Solve for x
    x = 178,497,628,571.21/654,993.43
  6. Step 6: Final answer
    x = 272,518.20

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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.