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Finding the Fourth Proportional to 364,146, 502,551.40 and 200,834.44

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Solution

The fourth proportional to 364,146, 502,551.40 and 200,834.44 is: 277,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,146 : 502,551.40 = 200,834.44 : x
  2. Step 2: Convert to fraction form
    364,146/502,551.40 = 200,834.44/x
  3. Step 3: Cross multiply
    364,146x = 502,551.40 × 200,834.44
  4. Step 4: Simplify right side
    364,146x = 100,929,628,990.22
  5. Step 5: Solve for x
    x = 100,929,628,990.22/364,146
  6. Step 6: Final answer
    x = 277,168.03

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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.