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Finding the Fourth Proportional to 467,573.82, 701,390.25 and 197,651.62

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Solution

The fourth proportional to 467,573.82, 701,390.25 and 197,651.62 is: 296,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,573.82 : 701,390.25 = 197,651.62 : x
  2. Step 2: Convert to fraction form
    467,573.82/701,390.25 = 197,651.62/x
  3. Step 3: Cross multiply
    467,573.82x = 701,390.25 × 197,651.62
  4. Step 4: Simplify right side
    467,573.82x = 138,630,918,670.58
  5. Step 5: Solve for x
    x = 138,630,918,670.58/467,573.82
  6. Step 6: Final answer
    x = 296,489.91

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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.