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Finding the Fourth Proportional to 456,235.26, 629,395.38 and 295,142.27

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Solution

The fourth proportional to 456,235.26, 629,395.38 and 295,142.27 is: 407,160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,235.26 : 629,395.38 = 295,142.27 : x
  2. Step 2: Convert to fraction form
    456,235.26/629,395.38 = 295,142.27/x
  3. Step 3: Cross multiply
    456,235.26x = 629,395.38 × 295,142.27
  4. Step 4: Simplify right side
    456,235.26x = 185,761,178,033.74
  5. Step 5: Solve for x
    x = 185,761,178,033.74/456,235.26
  6. Step 6: Final answer
    x = 407,160.94

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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.