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Finding the Fourth Proportional to 496,274.20, 744,411.30 and 196,655.20

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Solution

The fourth proportional to 496,274.20, 744,411.30 and 196,655.20 is: 294,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,274.20 : 744,411.30 = 196,655.20 : x
  2. Step 2: Convert to fraction form
    496,274.20/744,411.30 = 196,655.20/x
  3. Step 3: Cross multiply
    496,274.20x = 744,411.30 × 196,655.20
  4. Step 4: Simplify right side
    496,274.20x = 146,392,353,083.76
  5. Step 5: Solve for x
    x = 146,392,353,083.76/496,274.20
  6. Step 6: Final answer
    x = 294,982.80

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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.