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Finding the Fourth Proportional to 345,460.42, 476,736.42 and 200,294.44

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Solution

The fourth proportional to 345,460.42, 476,736.42 and 200,294.44 is: 276,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,460.42 : 476,736.42 = 200,294.44 : x
  2. Step 2: Convert to fraction form
    345,460.42/476,736.42 = 200,294.44/x
  3. Step 3: Cross multiply
    345,460.42x = 476,736.42 × 200,294.44
  4. Step 4: Simplify right side
    345,460.42x = 95,487,654,271.50
  5. Step 5: Solve for x
    x = 95,487,654,271.50/345,460.42
  6. Step 6: Final answer
    x = 276,406.93

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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.