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Finding the Fourth Proportional to 957,825, 1,436,738.04 and 292,977

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Solution

The fourth proportional to 957,825, 1,436,738.04 and 292,977 is: 439,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,825 : 1,436,738.04 = 292,977 : x
  2. Step 2: Convert to fraction form
    957,825/1,436,738.04 = 292,977/x
  3. Step 3: Cross multiply
    957,825x = 1,436,738.04 × 292,977
  4. Step 4: Simplify right side
    957,825x = 420,931,200,745.08
  5. Step 5: Solve for x
    x = 420,931,200,745.08/957,825
  6. Step 6: Final answer
    x = 439,465.67

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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.