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Finding the Fourth Proportional to 497,591.88, 746,676.90 and 209,382.39

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Solution

The fourth proportional to 497,591.88, 746,676.90 and 209,382.39 is: 314,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,591.88 : 746,676.90 = 209,382.39 : x
  2. Step 2: Convert to fraction form
    497,591.88/746,676.90 = 209,382.39/x
  3. Step 3: Cross multiply
    497,591.88x = 746,676.90 × 209,382.39
  4. Step 4: Simplify right side
    497,591.88x = 156,340,993,879.79
  5. Step 5: Solve for x
    x = 156,340,993,879.79/497,591.88
  6. Step 6: Final answer
    x = 314,195.23

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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.