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Finding the Fourth Proportional to 364,208.07, 502,637.11 and 200,896.58

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Solution

The fourth proportional to 364,208.07, 502,637.11 and 200,896.58 is: 277,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,208.07 : 502,637.11 = 200,896.58 : x
  2. Step 2: Convert to fraction form
    364,208.07/502,637.11 = 200,896.58/x
  3. Step 3: Cross multiply
    364,208.07x = 502,637.11 × 200,896.58
  4. Step 4: Simplify right side
    364,208.07x = 100,978,076,380.08
  5. Step 5: Solve for x
    x = 100,978,076,380.08/364,208.07
  6. Step 6: Final answer
    x = 277,253.81

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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.