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Finding the Fourth Proportional to 588,168, 882,252 and 144,936

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Solution

The fourth proportional to 588,168, 882,252 and 144,936 is: 217,404

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,168 : 882,252 = 144,936 : x
  2. Step 2: Convert to fraction form
    588,168/882,252 = 144,936/x
  3. Step 3: Cross multiply
    588,168x = 882,252 × 144,936
  4. Step 4: Simplify right side
    588,168x = 127,870,075,872
  5. Step 5: Solve for x
    x = 127,870,075,872/588,168
  6. Step 6: Final answer
    x = 217,404

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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.