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Finding the Fourth Proportional to 416,844.36, 575,255.91 and 255,788.41

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Solution

The fourth proportional to 416,844.36, 575,255.91 and 255,788.41 is: 352,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,844.36 : 575,255.91 = 255,788.41 : x
  2. Step 2: Convert to fraction form
    416,844.36/575,255.91 = 255,788.41/x
  3. Step 3: Cross multiply
    416,844.36x = 575,255.91 × 255,788.41
  4. Step 4: Simplify right side
    416,844.36x = 147,143,794,562.00
  5. Step 5: Solve for x
    x = 147,143,794,562.00/416,844.36
  6. Step 6: Final answer
    x = 352,994.57

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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.