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Finding the Fourth Proportional to 365,755.22, 504,742.95 and 204,612.96

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Solution

The fourth proportional to 365,755.22, 504,742.95 and 204,612.96 is: 282,366.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,755.22 : 504,742.95 = 204,612.96 : x
  2. Step 2: Convert to fraction form
    365,755.22/504,742.95 = 204,612.96/x
  3. Step 3: Cross multiply
    365,755.22x = 504,742.95 × 204,612.96
  4. Step 4: Simplify right side
    365,755.22x = 103,276,949,038.63
  5. Step 5: Solve for x
    x = 103,276,949,038.63/365,755.22
  6. Step 6: Final answer
    x = 282,366.30

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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.