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Finding the Fourth Proportional to 370,615.50, 511,449.82 and 200,849.63

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Solution

The fourth proportional to 370,615.50, 511,449.82 and 200,849.63 is: 277,172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,615.50 : 511,449.82 = 200,849.63 : x
  2. Step 2: Convert to fraction form
    370,615.50/511,449.82 = 200,849.63/x
  3. Step 3: Cross multiply
    370,615.50x = 511,449.82 × 200,849.63
  4. Step 4: Simplify right side
    370,615.50x = 102,724,504,051.19
  5. Step 5: Solve for x
    x = 102,724,504,051.19/370,615.50
  6. Step 6: Final answer
    x = 277,172.71

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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.