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Finding the Fourth Proportional to 499,809.14, 689,753.82 and 273,454.64

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Solution

The fourth proportional to 499,809.14, 689,753.82 and 273,454.64 is: 377,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,809.14 : 689,753.82 = 273,454.64 : x
  2. Step 2: Convert to fraction form
    499,809.14/689,753.82 = 273,454.64/x
  3. Step 3: Cross multiply
    499,809.14x = 689,753.82 × 273,454.64
  4. Step 4: Simplify right side
    499,809.14x = 188,616,382,536.73
  5. Step 5: Solve for x
    x = 188,616,382,536.73/499,809.14
  6. Step 6: Final answer
    x = 377,376.82

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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.