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Finding the Fourth Proportional to 491,493.77, 737,505.53 and 207,381.23

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Solution

The fourth proportional to 491,493.77, 737,505.53 and 207,381.23 is: 311,183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,493.77 : 737,505.53 = 207,381.23 : x
  2. Step 2: Convert to fraction form
    491,493.77/737,505.53 = 207,381.23/x
  3. Step 3: Cross multiply
    491,493.77x = 737,505.53 × 207,381.23
  4. Step 4: Simplify right side
    491,493.77x = 152,944,803,943.20
  5. Step 5: Solve for x
    x = 152,944,803,943.20/491,493.77
  6. Step 6: Final answer
    x = 311,183.61

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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.