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Finding the Fourth Proportional to 499,746.14, 689,665.97 and 273,391.64

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Solution

The fourth proportional to 499,746.14, 689,665.97 and 273,391.64 is: 377,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,746.14 : 689,665.97 = 273,391.64 : x
  2. Step 2: Convert to fraction form
    499,746.14/689,665.97 = 273,391.64/x
  3. Step 3: Cross multiply
    499,746.14x = 689,665.97 × 273,391.64
  4. Step 4: Simplify right side
    499,746.14x = 188,548,910,590.49
  5. Step 5: Solve for x
    x = 188,548,910,590.49/499,746.14
  6. Step 6: Final answer
    x = 377,289.38

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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.