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Finding the Fourth Proportional to 491,596.18, 737,480.75 and 203,406.98

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Solution

The fourth proportional to 491,596.18, 737,480.75 and 203,406.98 is: 305,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,596.18 : 737,480.75 = 203,406.98 : x
  2. Step 2: Convert to fraction form
    491,596.18/737,480.75 = 203,406.98/x
  3. Step 3: Cross multiply
    491,596.18x = 737,480.75 × 203,406.98
  4. Step 4: Simplify right side
    491,596.18x = 150,008,727,461.20
  5. Step 5: Solve for x
    x = 150,008,727,461.20/491,596.18
  6. Step 6: Final answer
    x = 305,146.24

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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.