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Finding the Fourth Proportional to 318,575.76, 477,932.76 and 96,954

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Solution

The fourth proportional to 318,575.76, 477,932.76 and 96,954 is: 145,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,575.76 : 477,932.76 = 96,954 : x
  2. Step 2: Convert to fraction form
    318,575.76/477,932.76 = 96,954/x
  3. Step 3: Cross multiply
    318,575.76x = 477,932.76 × 96,954
  4. Step 4: Simplify right side
    318,575.76x = 46,337,492,813.04
  5. Step 5: Solve for x
    x = 46,337,492,813.04/318,575.76
  6. Step 6: Final answer
    x = 145,452.04

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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.