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Finding the Fourth Proportional to 289,226.82, 398,852.61 and 225,541.38

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Solution

The fourth proportional to 289,226.82, 398,852.61 and 225,541.38 is: 311,028.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,226.82 : 398,852.61 = 225,541.38 : x
  2. Step 2: Convert to fraction form
    289,226.82/398,852.61 = 225,541.38/x
  3. Step 3: Cross multiply
    289,226.82x = 398,852.61 × 225,541.38
  4. Step 4: Simplify right side
    289,226.82x = 89,957,768,076.00
  5. Step 5: Solve for x
    x = 89,957,768,076.00/289,226.82
  6. Step 6: Final answer
    x = 311,028.44

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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.