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Finding the Fourth Proportional to 296,604.58, 409,332.24 and 181,896.42

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Solution

The fourth proportional to 296,604.58, 409,332.24 and 181,896.42 is: 251,028.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,604.58 : 409,332.24 = 181,896.42 : x
  2. Step 2: Convert to fraction form
    296,604.58/409,332.24 = 181,896.42/x
  3. Step 3: Cross multiply
    296,604.58x = 409,332.24 × 181,896.42
  4. Step 4: Simplify right side
    296,604.58x = 74,456,069,046.58
  5. Step 5: Solve for x
    x = 74,456,069,046.58/296,604.58
  6. Step 6: Final answer
    x = 251,028.05

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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.