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Finding the Fourth Proportional to 463,446.30, 694,003.05 and 304,815.90

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Solution

The fourth proportional to 463,446.30, 694,003.05 and 304,815.90 is: 456,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,446.30 : 694,003.05 = 304,815.90 : x
  2. Step 2: Convert to fraction form
    463,446.30/694,003.05 = 304,815.90/x
  3. Step 3: Cross multiply
    463,446.30x = 694,003.05 × 304,815.90
  4. Step 4: Simplify right side
    463,446.30x = 211,543,164,288.50
  5. Step 5: Solve for x
    x = 211,543,164,288.50/463,446.30
  6. Step 6: Final answer
    x = 456,456.69

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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.