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Finding the Fourth Proportional to 588,183, 882,274.50 and 144,951

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Solution

The fourth proportional to 588,183, 882,274.50 and 144,951 is: 217,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,183 : 882,274.50 = 144,951 : x
  2. Step 2: Convert to fraction form
    588,183/882,274.50 = 144,951/x
  3. Step 3: Cross multiply
    588,183x = 882,274.50 × 144,951
  4. Step 4: Simplify right side
    588,183x = 127,886,571,049.50
  5. Step 5: Solve for x
    x = 127,886,571,049.50/588,183
  6. Step 6: Final answer
    x = 217,426.50

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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.