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Finding the Fourth Proportional to 496,321.98, 685,046.01 and 281,587.74

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Solution

The fourth proportional to 496,321.98, 685,046.01 and 281,587.74 is: 388,660.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,321.98 : 685,046.01 = 281,587.74 : x
  2. Step 2: Convert to fraction form
    496,321.98/685,046.01 = 281,587.74/x
  3. Step 3: Cross multiply
    496,321.98x = 685,046.01 × 281,587.74
  4. Step 4: Simplify right side
    496,321.98x = 192,900,557,751.92
  5. Step 5: Solve for x
    x = 192,900,557,751.92/496,321.98
  6. Step 6: Final answer
    x = 388,660.11

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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.