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Finding the Fourth Proportional to 588,186, 882,279 and 144,954

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Solution

The fourth proportional to 588,186, 882,279 and 144,954 is: 217,431

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,186 : 882,279 = 144,954 : x
  2. Step 2: Convert to fraction form
    588,186/882,279 = 144,954/x
  3. Step 3: Cross multiply
    588,186x = 882,279 × 144,954
  4. Step 4: Simplify right side
    588,186x = 127,889,870,166
  5. Step 5: Solve for x
    x = 127,889,870,166/588,186
  6. Step 6: Final answer
    x = 217,431

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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.