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Finding the Fourth Proportional to 365,282.76, 504,092.08 and 204,140.50

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Solution

The fourth proportional to 365,282.76, 504,092.08 and 204,140.50 is: 281,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,282.76 : 504,092.08 = 204,140.50 : x
  2. Step 2: Convert to fraction form
    365,282.76/504,092.08 = 204,140.50/x
  3. Step 3: Cross multiply
    365,282.76x = 504,092.08 × 204,140.50
  4. Step 4: Simplify right side
    365,282.76x = 102,905,609,257.24
  5. Step 5: Solve for x
    x = 102,905,609,257.24/365,282.76
  6. Step 6: Final answer
    x = 281,714.94

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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.