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Finding the Fourth Proportional to 361,709, 499,164.42 and 200,570.84

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Solution

The fourth proportional to 361,709, 499,164.42 and 200,570.84 is: 276,791.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,709 : 499,164.42 = 200,570.84 : x
  2. Step 2: Convert to fraction form
    361,709/499,164.42 = 200,570.84/x
  3. Step 3: Cross multiply
    361,709x = 499,164.42 × 200,570.84
  4. Step 4: Simplify right side
    361,709x = 100,117,827,017.51
  5. Step 5: Solve for x
    x = 100,117,827,017.51/361,709
  6. Step 6: Final answer
    x = 276,791.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.