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Finding the Fourth Proportional to 496,602, 685,263.38 and 278,760.80

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Solution

The fourth proportional to 496,602, 685,263.38 and 278,760.80 is: 384,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,602 : 685,263.38 = 278,760.80 : x
  2. Step 2: Convert to fraction form
    496,602/685,263.38 = 278,760.80/x
  3. Step 3: Cross multiply
    496,602x = 685,263.38 × 278,760.80
  4. Step 4: Simplify right side
    496,602x = 191,024,568,338.86
  5. Step 5: Solve for x
    x = 191,024,568,338.86/496,602
  6. Step 6: Final answer
    x = 384,663.31

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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.