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Finding the Fourth Proportional to 347,114.40, 520,077.20 and 189,453.48

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Solution

The fourth proportional to 347,114.40, 520,077.20 and 189,453.48 is: 283,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,114.40 : 520,077.20 = 189,453.48 : x
  2. Step 2: Convert to fraction form
    347,114.40/520,077.20 = 189,453.48/x
  3. Step 3: Cross multiply
    347,114.40x = 520,077.20 × 189,453.48
  4. Step 4: Simplify right side
    347,114.40x = 98,530,435,408.66
  5. Step 5: Solve for x
    x = 98,530,435,408.66/347,114.40
  6. Step 6: Final answer
    x = 283,855.80

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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.