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Finding the Fourth Proportional to 548,000, 822,000 and 154,016

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Solution

The fourth proportional to 548,000, 822,000 and 154,016 is: 231,024

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,000 : 822,000 = 154,016 : x
  2. Step 2: Convert to fraction form
    548,000/822,000 = 154,016/x
  3. Step 3: Cross multiply
    548,000x = 822,000 × 154,016
  4. Step 4: Simplify right side
    548,000x = 126,601,152,000
  5. Step 5: Solve for x
    x = 126,601,152,000/548,000
  6. Step 6: Final answer
    x = 231,024

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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.