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Finding the Fourth Proportional to 491,698.80, 737,659.17 and 150,172.83

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Solution

The fourth proportional to 491,698.80, 737,659.17 and 150,172.83 is: 225,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,698.80 : 737,659.17 = 150,172.83 : x
  2. Step 2: Convert to fraction form
    491,698.80/737,659.17 = 150,172.83/x
  3. Step 3: Cross multiply
    491,698.80x = 737,659.17 × 150,172.83
  4. Step 4: Simplify right side
    491,698.80x = 110,776,365,134.35
  5. Step 5: Solve for x
    x = 110,776,365,134.35/491,698.80
  6. Step 6: Final answer
    x = 225,293.14

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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.