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Finding the Fourth Proportional to 409,486.43, 614,317.10 and 143,255.63

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Solution

The fourth proportional to 409,486.43, 614,317.10 and 143,255.63 is: 214,914.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,486.43 : 614,317.10 = 143,255.63 : x
  2. Step 2: Convert to fraction form
    409,486.43/614,317.10 = 143,255.63/x
  3. Step 3: Cross multiply
    409,486.43x = 614,317.10 × 143,255.63
  4. Step 4: Simplify right side
    409,486.43x = 88,004,379,392.41
  5. Step 5: Solve for x
    x = 88,004,379,392.41/409,486.43
  6. Step 6: Final answer
    x = 214,914.03

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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.