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Finding the Fourth Proportional to 431,996.40, 647,994.60 and 342,766.80

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Solution

The fourth proportional to 431,996.40, 647,994.60 and 342,766.80 is: 514,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,996.40 : 647,994.60 = 342,766.80 : x
  2. Step 2: Convert to fraction form
    431,996.40/647,994.60 = 342,766.80/x
  3. Step 3: Cross multiply
    431,996.40x = 647,994.60 × 342,766.80
  4. Step 4: Simplify right side
    431,996.40x = 222,111,035,459.28
  5. Step 5: Solve for x
    x = 222,111,035,459.28/431,996.40
  6. Step 6: Final answer
    x = 514,150.20

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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.