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Finding the Fourth Proportional to 499,654, 689,532.24 and 273,304.36

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Solution

The fourth proportional to 499,654, 689,532.24 and 273,304.36 is: 377,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,654 : 689,532.24 = 273,304.36 : x
  2. Step 2: Convert to fraction form
    499,654/689,532.24 = 273,304.36/x
  3. Step 3: Cross multiply
    499,654x = 689,532.24 × 273,304.36
  4. Step 4: Simplify right side
    499,654x = 188,452,167,552.57
  5. Step 5: Solve for x
    x = 188,452,167,552.57/499,654
  6. Step 6: Final answer
    x = 377,165.33

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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.