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Finding the Fourth Proportional to 361,741.23, 542,842.70 and 255,059.37

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Solution

The fourth proportional to 361,741.23, 542,842.70 and 255,059.37 is: 382,751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,741.23 : 542,842.70 = 255,059.37 : x
  2. Step 2: Convert to fraction form
    361,741.23/542,842.70 = 255,059.37/x
  3. Step 3: Cross multiply
    361,741.23x = 542,842.70 × 255,059.37
  4. Step 4: Simplify right side
    361,741.23x = 138,457,115,795.80
  5. Step 5: Solve for x
    x = 138,457,115,795.80/361,741.23
  6. Step 6: Final answer
    x = 382,751.82

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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.