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Finding the Fourth Proportional to 364,138.99, 502,541.72 and 200,827.44

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Solution

The fourth proportional to 364,138.99, 502,541.72 and 200,827.44 is: 277,158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,138.99 : 502,541.72 = 200,827.44 : x
  2. Step 2: Convert to fraction form
    364,138.99/502,541.72 = 200,827.44/x
  3. Step 3: Cross multiply
    364,138.99x = 502,541.72 × 200,827.44
  4. Step 4: Simplify right side
    364,138.99x = 100,924,164,985.23
  5. Step 5: Solve for x
    x = 100,924,164,985.23/364,138.99
  6. Step 6: Final answer
    x = 277,158.36

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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.