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Finding the Fourth Proportional to 290,226.82, 400,491.06 and 162,877.81

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Solution

The fourth proportional to 290,226.82, 400,491.06 and 162,877.81 is: 224,759.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,226.82 : 400,491.06 = 162,877.81 : x
  2. Step 2: Convert to fraction form
    290,226.82/400,491.06 = 162,877.81/x
  3. Step 3: Cross multiply
    290,226.82x = 400,491.06 × 162,877.81
  4. Step 4: Simplify right side
    290,226.82x = 65,231,106,777.38
  5. Step 5: Solve for x
    x = 65,231,106,777.38/290,226.82
  6. Step 6: Final answer
    x = 224,759.06

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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.