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Finding the Fourth Proportional to 304,832.88, 420,676.32 and 177,462

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Solution

The fourth proportional to 304,832.88, 420,676.32 and 177,462 is: 244,901.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,832.88 : 420,676.32 = 177,462 : x
  2. Step 2: Convert to fraction form
    304,832.88/420,676.32 = 177,462/x
  3. Step 3: Cross multiply
    304,832.88x = 420,676.32 × 177,462
  4. Step 4: Simplify right side
    304,832.88x = 74,654,061,099.84
  5. Step 5: Solve for x
    x = 74,654,061,099.84/304,832.88
  6. Step 6: Final answer
    x = 244,901.60

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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.