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Finding the Fourth Proportional to 467,698.52, 644,993.40 and 306,495.02

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Solution

The fourth proportional to 467,698.52, 644,993.40 and 306,495.02 is: 422,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,698.52 : 644,993.40 = 306,495.02 : x
  2. Step 2: Convert to fraction form
    467,698.52/644,993.40 = 306,495.02/x
  3. Step 3: Cross multiply
    467,698.52x = 644,993.40 × 306,495.02
  4. Step 4: Simplify right side
    467,698.52x = 197,687,265,032.87
  5. Step 5: Solve for x
    x = 197,687,265,032.87/467,698.52
  6. Step 6: Final answer
    x = 422,680.97

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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.