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Finding the Fourth Proportional to 365,677.96, 504,638.81 and 204,548.01

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Solution

The fourth proportional to 365,677.96, 504,638.81 and 204,548.01 is: 282,278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,677.96 : 504,638.81 = 204,548.01 : x
  2. Step 2: Convert to fraction form
    365,677.96/504,638.81 = 204,548.01/x
  3. Step 3: Cross multiply
    365,677.96x = 504,638.81 × 204,548.01
  4. Step 4: Simplify right side
    365,677.96x = 103,222,864,354.27
  5. Step 5: Solve for x
    x = 103,222,864,354.27/365,677.96
  6. Step 6: Final answer
    x = 282,278.06

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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.