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Finding the Fourth Proportional to 275,749.10, 413,635.80 and 155,804.30

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Solution

The fourth proportional to 275,749.10, 413,635.80 and 155,804.30 is: 233,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,749.10 : 413,635.80 = 155,804.30 : x
  2. Step 2: Convert to fraction form
    275,749.10/413,635.80 = 155,804.30/x
  3. Step 3: Cross multiply
    275,749.10x = 413,635.80 × 155,804.30
  4. Step 4: Simplify right side
    275,749.10x = 64,446,236,273.94
  5. Step 5: Solve for x
    x = 64,446,236,273.94/275,749.10
  6. Step 6: Final answer
    x = 233,713.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.