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Finding the Fourth Proportional to 386,472.36, 533,331.36 and 214,416.38

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Solution

The fourth proportional to 386,472.36, 533,331.36 and 214,416.38 is: 295,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,472.36 : 533,331.36 = 214,416.38 : x
  2. Step 2: Convert to fraction form
    386,472.36/533,331.36 = 214,416.38/x
  3. Step 3: Cross multiply
    386,472.36x = 533,331.36 × 214,416.38
  4. Step 4: Simplify right side
    386,472.36x = 114,354,979,551.68
  5. Step 5: Solve for x
    x = 114,354,979,551.68/386,472.36
  6. Step 6: Final answer
    x = 295,894.33

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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.