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Finding the Fourth Proportional to 364,311.33, 502,725.90 and 200,958

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Solution

The fourth proportional to 364,311.33, 502,725.90 and 200,958 is: 277,308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,311.33 : 502,725.90 = 200,958 : x
  2. Step 2: Convert to fraction form
    364,311.33/502,725.90 = 200,958/x
  3. Step 3: Cross multiply
    364,311.33x = 502,725.90 × 200,958
  4. Step 4: Simplify right side
    364,311.33x = 101,026,791,412.20
  5. Step 5: Solve for x
    x = 101,026,791,412.20/364,311.33
  6. Step 6: Final answer
    x = 277,308.95

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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.