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Finding the Fourth Proportional to 548,945.16, 823,302.30 and 154,869

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Solution

The fourth proportional to 548,945.16, 823,302.30 and 154,869 is: 232,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,945.16 : 823,302.30 = 154,869 : x
  2. Step 2: Convert to fraction form
    548,945.16/823,302.30 = 154,869/x
  3. Step 3: Cross multiply
    548,945.16x = 823,302.30 × 154,869
  4. Step 4: Simplify right side
    548,945.16x = 127,504,003,898.70
  5. Step 5: Solve for x
    x = 127,504,003,898.70/548,945.16
  6. Step 6: Final answer
    x = 232,270.93

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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.