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Finding the Fourth Proportional to 451,782.08, 677,696.16 and 171,322.56

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Solution

The fourth proportional to 451,782.08, 677,696.16 and 171,322.56 is: 256,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,782.08 : 677,696.16 = 171,322.56 : x
  2. Step 2: Convert to fraction form
    451,782.08/677,696.16 = 171,322.56/x
  3. Step 3: Cross multiply
    451,782.08x = 677,696.16 × 171,322.56
  4. Step 4: Simplify right side
    451,782.08x = 116,104,641,033.37
  5. Step 5: Solve for x
    x = 116,104,641,033.37/451,782.08
  6. Step 6: Final answer
    x = 256,992.58

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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.