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Finding the Fourth Proportional to 331,048, 456,846.24 and 180,146.08

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Solution

The fourth proportional to 331,048, 456,846.24 and 180,146.08 is: 248,601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,048 : 456,846.24 = 180,146.08 : x
  2. Step 2: Convert to fraction form
    331,048/456,846.24 = 180,146.08/x
  3. Step 3: Cross multiply
    331,048x = 456,846.24 × 180,146.08
  4. Step 4: Simplify right side
    331,048x = 82,299,059,298.74
  5. Step 5: Solve for x
    x = 82,299,059,298.74/331,048
  6. Step 6: Final answer
    x = 248,601.59

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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.