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Finding the Fourth Proportional to 365,402.63, 504,266.80 and 204,264.47

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Solution

The fourth proportional to 365,402.63, 504,266.80 and 204,264.47 is: 281,891.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,402.63 : 504,266.80 = 204,264.47 : x
  2. Step 2: Convert to fraction form
    365,402.63/504,266.80 = 204,264.47/x
  3. Step 3: Cross multiply
    365,402.63x = 504,266.80 × 204,264.47
  4. Step 4: Simplify right side
    365,402.63x = 103,003,791,926.21
  5. Step 5: Solve for x
    x = 103,003,791,926.21/365,402.63
  6. Step 6: Final answer
    x = 281,891.22

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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.