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Finding the Fourth Proportional to 367,333.48, 506,954.92 and 214,359.32

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Solution

The fourth proportional to 367,333.48, 506,954.92 and 214,359.32 is: 295,836.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,333.48 : 506,954.92 = 214,359.32 : x
  2. Step 2: Convert to fraction form
    367,333.48/506,954.92 = 214,359.32/x
  3. Step 3: Cross multiply
    367,333.48x = 506,954.92 × 214,359.32
  4. Step 4: Simplify right side
    367,333.48x = 108,670,511,921.85
  5. Step 5: Solve for x
    x = 108,670,511,921.85/367,333.48
  6. Step 6: Final answer
    x = 295,836.12

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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.