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Finding the Fourth Proportional to 467,752.32, 645,067.80 and 306,548.82

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Solution

The fourth proportional to 467,752.32, 645,067.80 and 306,548.82 is: 422,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,752.32 : 645,067.80 = 306,548.82 : x
  2. Step 2: Convert to fraction form
    467,752.32/645,067.80 = 306,548.82/x
  3. Step 3: Cross multiply
    467,752.32x = 645,067.80 × 306,548.82
  4. Step 4: Simplify right side
    467,752.32x = 197,744,772,910.00
  5. Step 5: Solve for x
    x = 197,744,772,910.00/467,752.32
  6. Step 6: Final answer
    x = 422,755.30

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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.