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Finding the Fourth Proportional to 244,174, 367,924.81 and 200,773

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Solution

The fourth proportional to 244,174, 367,924.81 and 200,773 is: 302,527.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,174 : 367,924.81 = 200,773 : x
  2. Step 2: Convert to fraction form
    244,174/367,924.81 = 200,773/x
  3. Step 3: Cross multiply
    244,174x = 367,924.81 × 200,773
  4. Step 4: Simplify right side
    244,174x = 73,869,367,878.13
  5. Step 5: Solve for x
    x = 73,869,367,878.13/244,174
  6. Step 6: Final answer
    x = 302,527.57

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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.