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Finding the Fourth Proportional to 768,896.16, 1,153,375.65 and 263,804.46

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Solution

The fourth proportional to 768,896.16, 1,153,375.65 and 263,804.46 is: 395,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,896.16 : 1,153,375.65 = 263,804.46 : x
  2. Step 2: Convert to fraction form
    768,896.16/1,153,375.65 = 263,804.46/x
  3. Step 3: Cross multiply
    768,896.16x = 1,153,375.65 × 263,804.46
  4. Step 4: Simplify right side
    768,896.16x = 304,265,640,525.40
  5. Step 5: Solve for x
    x = 304,265,640,525.40/768,896.16
  6. Step 6: Final answer
    x = 395,717.47

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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.