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Finding the Fourth Proportional to 548,944.16, 823,300.80 and 154,868

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Solution

The fourth proportional to 548,944.16, 823,300.80 and 154,868 is: 232,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,944.16 : 823,300.80 = 154,868 : x
  2. Step 2: Convert to fraction form
    548,944.16/823,300.80 = 154,868/x
  3. Step 3: Cross multiply
    548,944.16x = 823,300.80 × 154,868
  4. Step 4: Simplify right side
    548,944.16x = 127,502,948,294.40
  5. Step 5: Solve for x
    x = 127,502,948,294.40/548,944.16
  6. Step 6: Final answer
    x = 232,269.43

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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.