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Finding the Fourth Proportional to 456,408.90, 683,629.20 and 456,408.90

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Solution

The fourth proportional to 456,408.90, 683,629.20 and 456,408.90 is: 683,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,408.90 : 683,629.20 = 456,408.90 : x
  2. Step 2: Convert to fraction form
    456,408.90/683,629.20 = 456,408.90/x
  3. Step 3: Cross multiply
    456,408.90x = 683,629.20 × 456,408.90
  4. Step 4: Simplify right side
    456,408.90x = 312,014,451,179.88
  5. Step 5: Solve for x
    x = 312,014,451,179.88/456,408.90
  6. Step 6: Final answer
    x = 683,629.20

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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.