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Finding the Fourth Proportional to 491,713.44, 737,264.84 and 207,257.64

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Solution

The fourth proportional to 491,713.44, 737,264.84 and 207,257.64 is: 310,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,713.44 : 737,264.84 = 207,257.64 : x
  2. Step 2: Convert to fraction form
    491,713.44/737,264.84 = 207,257.64/x
  3. Step 3: Cross multiply
    491,713.44x = 737,264.84 × 207,257.64
  4. Step 4: Simplify right side
    491,713.44x = 152,803,766,992.35
  5. Step 5: Solve for x
    x = 152,803,766,992.35/491,713.44
  6. Step 6: Final answer
    x = 310,757.76

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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.