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Finding the Fourth Proportional to 244,185, 367,941.42 and 200,784

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Solution

The fourth proportional to 244,185, 367,941.42 and 200,784 is: 302,544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,185 : 367,941.42 = 200,784 : x
  2. Step 2: Convert to fraction form
    244,185/367,941.42 = 200,784/x
  3. Step 3: Cross multiply
    244,185x = 367,941.42 × 200,784
  4. Step 4: Simplify right side
    244,185x = 73,876,750,073.28
  5. Step 5: Solve for x
    x = 73,876,750,073.28/244,185
  6. Step 6: Final answer
    x = 302,544.18

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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.