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Finding the Fourth Proportional to 744,133, 1,116,199.50 and 218,821

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Solution

The fourth proportional to 744,133, 1,116,199.50 and 218,821 is: 328,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,133 : 1,116,199.50 = 218,821 : x
  2. Step 2: Convert to fraction form
    744,133/1,116,199.50 = 218,821/x
  3. Step 3: Cross multiply
    744,133x = 1,116,199.50 × 218,821
  4. Step 4: Simplify right side
    744,133x = 244,247,890,789.50
  5. Step 5: Solve for x
    x = 244,247,890,789.50/744,133
  6. Step 6: Final answer
    x = 328,231.50

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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.