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Finding the Fourth Proportional to 362,064.63, 499,654.64 and 200,930.12

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Solution

The fourth proportional to 362,064.63, 499,654.64 and 200,930.12 is: 277,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,064.63 : 499,654.64 = 200,930.12 : x
  2. Step 2: Convert to fraction form
    362,064.63/499,654.64 = 200,930.12/x
  3. Step 3: Cross multiply
    362,064.63x = 499,654.64 × 200,930.12
  4. Step 4: Simplify right side
    362,064.63x = 100,395,666,651.51
  5. Step 5: Solve for x
    x = 100,395,666,651.51/362,064.63
  6. Step 6: Final answer
    x = 277,286.59

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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.