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Finding the Fourth Proportional to 367,329.49, 506,949.39 and 214,355.32

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Solution

The fourth proportional to 367,329.49, 506,949.39 and 214,355.32 is: 295,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,329.49 : 506,949.39 = 214,355.32 : x
  2. Step 2: Convert to fraction form
    367,329.49/506,949.39 = 214,355.32/x
  3. Step 3: Cross multiply
    367,329.49x = 506,949.39 × 214,355.32
  4. Step 4: Simplify right side
    367,329.49x = 108,667,298,717.26
  5. Step 5: Solve for x
    x = 108,667,298,717.26/367,329.49
  6. Step 6: Final answer
    x = 295,830.59

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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.