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Finding the Fourth Proportional to 548,661.75, 823,140.54 and 228,707.28

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Solution

The fourth proportional to 548,661.75, 823,140.54 and 228,707.28 is: 343,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,661.75 : 823,140.54 = 228,707.28 : x
  2. Step 2: Convert to fraction form
    548,661.75/823,140.54 = 228,707.28/x
  3. Step 3: Cross multiply
    548,661.75x = 823,140.54 × 228,707.28
  4. Step 4: Simplify right side
    548,661.75x = 188,258,233,961.13
  5. Step 5: Solve for x
    x = 188,258,233,961.13/548,661.75
  6. Step 6: Final answer
    x = 343,122.58

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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.