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Finding the Fourth Proportional to 809,392.80, 1,214,429.40 and 434,978.40

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Solution

The fourth proportional to 809,392.80, 1,214,429.40 and 434,978.40 is: 652,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,392.80 : 1,214,429.40 = 434,978.40 : x
  2. Step 2: Convert to fraction form
    809,392.80/1,214,429.40 = 434,978.40/x
  3. Step 3: Cross multiply
    809,392.80x = 1,214,429.40 × 434,978.40
  4. Step 4: Simplify right side
    809,392.80x = 528,250,557,324.96
  5. Step 5: Solve for x
    x = 528,250,557,324.96/809,392.80
  6. Step 6: Final answer
    x = 652,650.43

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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.