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Finding the Fourth Proportional to 354,453.70, 531,344.16 and 141,352.42

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Solution

The fourth proportional to 354,453.70, 531,344.16 and 141,352.42 is: 211,894.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,453.70 : 531,344.16 = 141,352.42 : x
  2. Step 2: Convert to fraction form
    354,453.70/531,344.16 = 141,352.42/x
  3. Step 3: Cross multiply
    354,453.70x = 531,344.16 × 141,352.42
  4. Step 4: Simplify right side
    354,453.70x = 75,106,782,868.87
  5. Step 5: Solve for x
    x = 75,106,782,868.87/354,453.70
  6. Step 6: Final answer
    x = 211,894.48

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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.