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Finding the Fourth Proportional to 365,708.56, 504,675.24 and 204,562.96

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Solution

The fourth proportional to 365,708.56, 504,675.24 and 204,562.96 is: 282,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,708.56 : 504,675.24 = 204,562.96 : x
  2. Step 2: Convert to fraction form
    365,708.56/504,675.24 = 204,562.96/x
  3. Step 3: Cross multiply
    365,708.56x = 504,675.24 × 204,562.96
  4. Step 4: Simplify right side
    365,708.56x = 103,237,860,933.11
  5. Step 5: Solve for x
    x = 103,237,860,933.11/365,708.56
  6. Step 6: Final answer
    x = 282,295.45

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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.