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Finding the Fourth Proportional to 496,859.94, 745,414.11 and 197,241.48

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Solution

The fourth proportional to 496,859.94, 745,414.11 and 197,241.48 is: 295,911.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,859.94 : 745,414.11 = 197,241.48 : x
  2. Step 2: Convert to fraction form
    496,859.94/745,414.11 = 197,241.48/x
  3. Step 3: Cross multiply
    496,859.94x = 745,414.11 × 197,241.48
  4. Step 4: Simplify right side
    496,859.94x = 147,026,582,269.28
  5. Step 5: Solve for x
    x = 147,026,582,269.28/496,859.94
  6. Step 6: Final answer
    x = 295,911.52

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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.