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Finding the Fourth Proportional to 384,696.25, 530,881.05 and 214,930.38

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Solution

The fourth proportional to 384,696.25, 530,881.05 and 214,930.38 is: 296,604.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,696.25 : 530,881.05 = 214,930.38 : x
  2. Step 2: Convert to fraction form
    384,696.25/530,881.05 = 214,930.38/x
  3. Step 3: Cross multiply
    384,696.25x = 530,881.05 × 214,930.38
  4. Step 4: Simplify right side
    384,696.25x = 114,102,465,811.30
  5. Step 5: Solve for x
    x = 114,102,465,811.30/384,696.25
  6. Step 6: Final answer
    x = 296,604.05

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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.