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Finding the Fourth Proportional to 325,172.36, 487,762.64 and 114,662.68

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Solution

The fourth proportional to 325,172.36, 487,762.64 and 114,662.68 is: 171,995.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,172.36 : 487,762.64 = 114,662.68 : x
  2. Step 2: Convert to fraction form
    325,172.36/487,762.64 = 114,662.68/x
  3. Step 3: Cross multiply
    325,172.36x = 487,762.64 × 114,662.68
  4. Step 4: Simplify right side
    325,172.36x = 55,928,171,506.28
  5. Step 5: Solve for x
    x = 55,928,171,506.28/325,172.36
  6. Step 6: Final answer
    x = 171,995.47

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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.