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Finding the Fourth Proportional to 514,125.14, 770,684.34 and 214,691.35

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Solution

The fourth proportional to 514,125.14, 770,684.34 and 214,691.35 is: 321,826.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,125.14 : 770,684.34 = 214,691.35 : x
  2. Step 2: Convert to fraction form
    514,125.14/770,684.34 = 214,691.35/x
  3. Step 3: Cross multiply
    514,125.14x = 770,684.34 × 214,691.35
  4. Step 4: Simplify right side
    514,125.14x = 165,459,262,768.44
  5. Step 5: Solve for x
    x = 165,459,262,768.44/514,125.14
  6. Step 6: Final answer
    x = 321,826.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.