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Finding the Fourth Proportional to 682,744.80, 1,023,679.80 and 283,544.40

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Solution

The fourth proportional to 682,744.80, 1,023,679.80 and 283,544.40 is: 425,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,744.80 : 1,023,679.80 = 283,544.40 : x
  2. Step 2: Convert to fraction form
    682,744.80/1,023,679.80 = 283,544.40/x
  3. Step 3: Cross multiply
    682,744.80x = 1,023,679.80 × 283,544.40
  4. Step 4: Simplify right side
    682,744.80x = 290,258,674,683.12
  5. Step 5: Solve for x
    x = 290,258,674,683.12/682,744.80
  6. Step 6: Final answer
    x = 425,134.95

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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.