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Finding the Fourth Proportional to 496,555, 685,240.14 and 270,196.60

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Solution

The fourth proportional to 496,555, 685,240.14 and 270,196.60 is: 372,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,555 : 685,240.14 = 270,196.60 : x
  2. Step 2: Convert to fraction form
    496,555/685,240.14 = 270,196.60/x
  3. Step 3: Cross multiply
    496,555x = 685,240.14 × 270,196.60
  4. Step 4: Simplify right side
    496,555x = 185,149,556,011.52
  5. Step 5: Solve for x
    x = 185,149,556,011.52/496,555
  6. Step 6: Final answer
    x = 372,868.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.