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Finding the Fourth Proportional to 318,535.76, 477,872.76 and 96,914

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Solution

The fourth proportional to 318,535.76, 477,872.76 and 96,914 is: 145,392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,535.76 : 477,872.76 = 96,914 : x
  2. Step 2: Convert to fraction form
    318,535.76/477,872.76 = 96,914/x
  3. Step 3: Cross multiply
    318,535.76x = 477,872.76 × 96,914
  4. Step 4: Simplify right side
    318,535.76x = 46,312,560,662.64
  5. Step 5: Solve for x
    x = 46,312,560,662.64/318,535.76
  6. Step 6: Final answer
    x = 145,392.03

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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.