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Finding the Fourth Proportional to 401,462.56, 602,427.06 and 179,846.56

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Solution

The fourth proportional to 401,462.56, 602,427.06 and 179,846.56 is: 269,874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,462.56 : 602,427.06 = 179,846.56 : x
  2. Step 2: Convert to fraction form
    401,462.56/602,427.06 = 179,846.56/x
  3. Step 3: Cross multiply
    401,462.56x = 602,427.06 × 179,846.56
  4. Step 4: Simplify right side
    401,462.56x = 108,344,434,391.91
  5. Step 5: Solve for x
    x = 108,344,434,391.91/401,462.56
  6. Step 6: Final answer
    x = 269,874.32

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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.