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Finding the Fourth Proportional to 366,047.24, 505,120.53 and 202,692

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Solution

The fourth proportional to 366,047.24, 505,120.53 and 202,692 is: 279,701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,047.24 : 505,120.53 = 202,692 : x
  2. Step 2: Convert to fraction form
    366,047.24/505,120.53 = 202,692/x
  3. Step 3: Cross multiply
    366,047.24x = 505,120.53 × 202,692
  4. Step 4: Simplify right side
    366,047.24x = 102,383,890,466.76
  5. Step 5: Solve for x
    x = 102,383,890,466.76/366,047.24
  6. Step 6: Final answer
    x = 279,701.31

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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.