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Finding the Fourth Proportional to 385,434.27, 531,881.96 and 213,358.68

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Solution

The fourth proportional to 385,434.27, 531,881.96 and 213,358.68 is: 294,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,434.27 : 531,881.96 = 213,358.68 : x
  2. Step 2: Convert to fraction form
    385,434.27/531,881.96 = 213,358.68/x
  3. Step 3: Cross multiply
    385,434.27x = 531,881.96 × 213,358.68
  4. Step 4: Simplify right side
    385,434.27x = 113,481,631,834.62
  5. Step 5: Solve for x
    x = 113,481,631,834.62/385,434.27
  6. Step 6: Final answer
    x = 294,425.38

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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.