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Finding the Fourth Proportional to 263,506.57, 395,270.72 and 76,518.07

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Solution

The fourth proportional to 263,506.57, 395,270.72 and 76,518.07 is: 114,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,506.57 : 395,270.72 = 76,518.07 : x
  2. Step 2: Convert to fraction form
    263,506.57/395,270.72 = 76,518.07/x
  3. Step 3: Cross multiply
    263,506.57x = 395,270.72 × 76,518.07
  4. Step 4: Simplify right side
    263,506.57x = 30,245,352,621.91
  5. Step 5: Solve for x
    x = 30,245,352,621.91/263,506.57
  6. Step 6: Final answer
    x = 114,780.26

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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.