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Finding the Fourth Proportional to 314,029.85, 470,866.37 and 214,310.84

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Solution

The fourth proportional to 314,029.85, 470,866.37 and 214,310.84 is: 321,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,029.85 : 470,866.37 = 214,310.84 : x
  2. Step 2: Convert to fraction form
    314,029.85/470,866.37 = 214,310.84/x
  3. Step 3: Cross multiply
    314,029.85x = 470,866.37 × 214,310.84
  4. Step 4: Simplify right side
    314,029.85x = 100,911,763,856.57
  5. Step 5: Solve for x
    x = 100,911,763,856.57/314,029.85
  6. Step 6: Final answer
    x = 321,344.50

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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.