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Finding the Fourth Proportional to 470,914.20, 706,371.30 and 463,138.20

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Solution

The fourth proportional to 470,914.20, 706,371.30 and 463,138.20 is: 694,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,914.20 : 706,371.30 = 463,138.20 : x
  2. Step 2: Convert to fraction form
    470,914.20/706,371.30 = 463,138.20/x
  3. Step 3: Cross multiply
    470,914.20x = 706,371.30 × 463,138.20
  4. Step 4: Simplify right side
    470,914.20x = 327,147,532,413.66
  5. Step 5: Solve for x
    x = 327,147,532,413.66/470,914.20
  6. Step 6: Final answer
    x = 694,707.30

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Similar ratio
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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.