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Finding the Fourth Proportional to 723,104.57, 998,281.73 and 494,006.33

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Solution

The fourth proportional to 723,104.57, 998,281.73 and 494,006.33 is: 682,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,104.57 : 998,281.73 = 494,006.33 : x
  2. Step 2: Convert to fraction form
    723,104.57/998,281.73 = 494,006.33/x
  3. Step 3: Cross multiply
    723,104.57x = 998,281.73 × 494,006.33
  4. Step 4: Simplify right side
    723,104.57x = 493,157,493,743.35
  5. Step 5: Solve for x
    x = 493,157,493,743.35/723,104.57
  6. Step 6: Final answer
    x = 682,000.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.