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Finding the Fourth Proportional to 244,183, 367,938.40 and 200,782

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Solution

The fourth proportional to 244,183, 367,938.40 and 200,782 is: 302,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,183 : 367,938.40 = 200,782 : x
  2. Step 2: Convert to fraction form
    244,183/367,938.40 = 200,782/x
  3. Step 3: Cross multiply
    244,183x = 367,938.40 × 200,782
  4. Step 4: Simplify right side
    244,183x = 73,875,407,828.80
  5. Step 5: Solve for x
    x = 73,875,407,828.80/244,183
  6. Step 6: Final answer
    x = 302,541.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.