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Finding the Fourth Proportional to 682,847.70, 1,024,271.55 and 233,419.20

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Solution

The fourth proportional to 682,847.70, 1,024,271.55 and 233,419.20 is: 350,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,847.70 : 1,024,271.55 = 233,419.20 : x
  2. Step 2: Convert to fraction form
    682,847.70/1,024,271.55 = 233,419.20/x
  3. Step 3: Cross multiply
    682,847.70x = 1,024,271.55 × 233,419.20
  4. Step 4: Simplify right side
    682,847.70x = 239,084,645,783.76
  5. Step 5: Solve for x
    x = 239,084,645,783.76/682,847.70
  6. Step 6: Final answer
    x = 350,128.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.