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Finding the Fourth Proportional to 461,608.40, 691,894.20 and 195,323.60

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Solution

The fourth proportional to 461,608.40, 691,894.20 and 195,323.60 is: 292,766.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,608.40 : 691,894.20 = 195,323.60 : x
  2. Step 2: Convert to fraction form
    461,608.40/691,894.20 = 195,323.60/x
  3. Step 3: Cross multiply
    461,608.40x = 691,894.20 × 195,323.60
  4. Step 4: Simplify right side
    461,608.40x = 135,143,265,963.12
  5. Step 5: Solve for x
    x = 135,143,265,963.12/461,608.40
  6. Step 6: Final answer
    x = 292,766.05

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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.