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Finding the Fourth Proportional to 397,756.62, 548,928.63 and 228,016.26

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Solution

The fourth proportional to 397,756.62, 548,928.63 and 228,016.26 is: 314,676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,756.62 : 548,928.63 = 228,016.26 : x
  2. Step 2: Convert to fraction form
    397,756.62/548,928.63 = 228,016.26/x
  3. Step 3: Cross multiply
    397,756.62x = 548,928.63 × 228,016.26
  4. Step 4: Simplify right side
    397,756.62x = 125,164,653,219.52
  5. Step 5: Solve for x
    x = 125,164,653,219.52/397,756.62
  6. Step 6: Final answer
    x = 314,676.48

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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.