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Finding the Fourth Proportional to 395,116.38, 545,260.61 and 213,828.32

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Solution

The fourth proportional to 395,116.38, 545,260.61 and 213,828.32 is: 295,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,116.38 : 545,260.61 = 213,828.32 : x
  2. Step 2: Convert to fraction form
    395,116.38/545,260.61 = 213,828.32/x
  3. Step 3: Cross multiply
    395,116.38x = 545,260.61 × 213,828.32
  4. Step 4: Simplify right side
    395,116.38x = 116,592,162,096.20
  5. Step 5: Solve for x
    x = 116,592,162,096.20/395,116.38
  6. Step 6: Final answer
    x = 295,083.09

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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.