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Finding the Fourth Proportional to 467,094.02, 644,694.66 and 305,855.42

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Solution

The fourth proportional to 467,094.02, 644,694.66 and 305,855.42 is: 422,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,094.02 : 644,694.66 = 305,855.42 : x
  2. Step 2: Convert to fraction form
    467,094.02/644,694.66 = 305,855.42/x
  3. Step 3: Cross multiply
    467,094.02x = 644,694.66 × 305,855.42
  4. Step 4: Simplify right side
    467,094.02x = 197,183,352,782.58
  5. Step 5: Solve for x
    x = 197,183,352,782.58/467,094.02
  6. Step 6: Final answer
    x = 422,149.17

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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.