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Finding the Fourth Proportional to 395,380.38, 545,624.14 and 214,091.74

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Solution

The fourth proportional to 395,380.38, 545,624.14 and 214,091.74 is: 295,446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,380.38 : 545,624.14 = 214,091.74 : x
  2. Step 2: Convert to fraction form
    395,380.38/545,624.14 = 214,091.74/x
  3. Step 3: Cross multiply
    395,380.38x = 545,624.14 × 214,091.74
  4. Step 4: Simplify right side
    395,380.38x = 116,813,621,518.60
  5. Step 5: Solve for x
    x = 116,813,621,518.60/395,380.38
  6. Step 6: Final answer
    x = 295,446.18

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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.