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Finding the Fourth Proportional to 355,942.47, 491,200.23 and 200,926.38

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Solution

The fourth proportional to 355,942.47, 491,200.23 and 200,926.38 is: 277,278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,942.47 : 491,200.23 = 200,926.38 : x
  2. Step 2: Convert to fraction form
    355,942.47/491,200.23 = 200,926.38/x
  3. Step 3: Cross multiply
    355,942.47x = 491,200.23 × 200,926.38
  4. Step 4: Simplify right side
    355,942.47x = 98,695,084,069.07
  5. Step 5: Solve for x
    x = 98,695,084,069.07/355,942.47
  6. Step 6: Final answer
    x = 277,278.19

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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.