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Finding the Fourth Proportional to 922,517.82, 1,384,392.33 and 323,478.54

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Solution

The fourth proportional to 922,517.82, 1,384,392.33 and 323,478.54 is: 485,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,517.82 : 1,384,392.33 = 323,478.54 : x
  2. Step 2: Convert to fraction form
    922,517.82/1,384,392.33 = 323,478.54/x
  3. Step 3: Cross multiply
    922,517.82x = 1,384,392.33 × 323,478.54
  4. Step 4: Simplify right side
    922,517.82x = 447,821,209,695.60
  5. Step 5: Solve for x
    x = 447,821,209,695.60/922,517.82
  6. Step 6: Final answer
    x = 485,433.67

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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.