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Finding the Fourth Proportional to 470,738.20, 706,107.30 and 470,738.20

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Solution

The fourth proportional to 470,738.20, 706,107.30 and 470,738.20 is: 706,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,738.20 : 706,107.30 = 470,738.20 : x
  2. Step 2: Convert to fraction form
    470,738.20/706,107.30 = 470,738.20/x
  3. Step 3: Cross multiply
    470,738.20x = 706,107.30 × 470,738.20
  4. Step 4: Simplify right side
    470,738.20x = 332,391,679,408.86
  5. Step 5: Solve for x
    x = 332,391,679,408.86/470,738.20
  6. Step 6: Final answer
    x = 706,107.30

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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.