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Finding the Fourth Proportional to 464,057.72, 694,708.68 and 253,055.96

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Solution

The fourth proportional to 464,057.72, 694,708.68 and 253,055.96 is: 378,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,057.72 : 694,708.68 = 253,055.96 : x
  2. Step 2: Convert to fraction form
    464,057.72/694,708.68 = 253,055.96/x
  3. Step 3: Cross multiply
    464,057.72x = 694,708.68 × 253,055.96
  4. Step 4: Simplify right side
    464,057.72x = 175,800,171,937.73
  5. Step 5: Solve for x
    x = 175,800,171,937.73/464,057.72
  6. Step 6: Final answer
    x = 378,832.56

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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.