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Finding the Fourth Proportional to 365,726.96, 504,679.50 and 204,554.12

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Solution

The fourth proportional to 365,726.96, 504,679.50 and 204,554.12 is: 282,271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,726.96 : 504,679.50 = 204,554.12 : x
  2. Step 2: Convert to fraction form
    365,726.96/504,679.50 = 204,554.12/x
  3. Step 3: Cross multiply
    365,726.96x = 504,679.50 × 204,554.12
  4. Step 4: Simplify right side
    365,726.96x = 103,234,271,004.54
  5. Step 5: Solve for x
    x = 103,234,271,004.54/365,726.96
  6. Step 6: Final answer
    x = 282,271.43

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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.