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Finding the Fourth Proportional to 385,401, 531,853.38 and 215,667.94

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Solution

The fourth proportional to 385,401, 531,853.38 and 215,667.94 is: 297,621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,401 : 531,853.38 = 215,667.94 : x
  2. Step 2: Convert to fraction form
    385,401/531,853.38 = 215,667.94/x
  3. Step 3: Cross multiply
    385,401x = 531,853.38 × 215,667.94
  4. Step 4: Simplify right side
    385,401x = 114,703,722,846.64
  5. Step 5: Solve for x
    x = 114,703,722,846.64/385,401
  6. Step 6: Final answer
    x = 297,621.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.