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Finding the Fourth Proportional to 288,586.44, 398,258.10 and 161,267.40

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Solution

The fourth proportional to 288,586.44, 398,258.10 and 161,267.40 is: 222,553.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,586.44 : 398,258.10 = 161,267.40 : x
  2. Step 2: Convert to fraction form
    288,586.44/398,258.10 = 161,267.40/x
  3. Step 3: Cross multiply
    288,586.44x = 398,258.10 × 161,267.40
  4. Step 4: Simplify right side
    288,586.44x = 64,226,048,315.94
  5. Step 5: Solve for x
    x = 64,226,048,315.94/288,586.44
  6. Step 6: Final answer
    x = 222,553.94

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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.