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Finding the Fourth Proportional to 363,907.75, 502,196.07 and 200,570.08

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Solution

The fourth proportional to 363,907.75, 502,196.07 and 200,570.08 is: 276,788.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,907.75 : 502,196.07 = 200,570.08 : x
  2. Step 2: Convert to fraction form
    363,907.75/502,196.07 = 200,570.08/x
  3. Step 3: Cross multiply
    363,907.75x = 502,196.07 × 200,570.08
  4. Step 4: Simplify right side
    363,907.75x = 100,725,505,935.59
  5. Step 5: Solve for x
    x = 100,725,505,935.59/363,907.75
  6. Step 6: Final answer
    x = 276,788.57

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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.