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Finding the Fourth Proportional to 496,782.56, 685,542.48 and 270,423.20

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Solution

The fourth proportional to 496,782.56, 685,542.48 and 270,423.20 is: 373,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,782.56 : 685,542.48 = 270,423.20 : x
  2. Step 2: Convert to fraction form
    496,782.56/685,542.48 = 270,423.20/x
  3. Step 3: Cross multiply
    496,782.56x = 685,542.48 × 270,423.20
  4. Step 4: Simplify right side
    496,782.56x = 185,386,591,177.54
  5. Step 5: Solve for x
    x = 185,386,591,177.54/496,782.56
  6. Step 6: Final answer
    x = 373,174.52

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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.