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Finding the Fourth Proportional to 313,794.08, 433,033.80 and 179,684

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Solution

The fourth proportional to 313,794.08, 433,033.80 and 179,684 is: 247,962.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,794.08 : 433,033.80 = 179,684 : x
  2. Step 2: Convert to fraction form
    313,794.08/433,033.80 = 179,684/x
  3. Step 3: Cross multiply
    313,794.08x = 433,033.80 × 179,684
  4. Step 4: Simplify right side
    313,794.08x = 77,809,245,319.20
  5. Step 5: Solve for x
    x = 77,809,245,319.20/313,794.08
  6. Step 6: Final answer
    x = 247,962.76

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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.