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Finding the Fourth Proportional to 491,540.40, 737,597.10 and 207,213.54

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Solution

The fourth proportional to 491,540.40, 737,597.10 and 207,213.54 is: 310,941.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,540.40 : 737,597.10 = 207,213.54 : x
  2. Step 2: Convert to fraction form
    491,540.40/737,597.10 = 207,213.54/x
  3. Step 3: Cross multiply
    491,540.40x = 737,597.10 × 207,213.54
  4. Step 4: Simplify right side
    491,540.40x = 152,840,106,184.73
  5. Step 5: Solve for x
    x = 152,840,106,184.73/491,540.40
  6. Step 6: Final answer
    x = 310,941.09

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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.