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Finding the Fourth Proportional to 431,705.20, 647,557.80 and 428,940.40

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Solution

The fourth proportional to 431,705.20, 647,557.80 and 428,940.40 is: 643,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,705.20 : 647,557.80 = 428,940.40 : x
  2. Step 2: Convert to fraction form
    431,705.20/647,557.80 = 428,940.40/x
  3. Step 3: Cross multiply
    431,705.20x = 647,557.80 × 428,940.40
  4. Step 4: Simplify right side
    431,705.20x = 277,763,701,755.12
  5. Step 5: Solve for x
    x = 277,763,701,755.12/431,705.20
  6. Step 6: Final answer
    x = 643,410.60

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1.5x scale

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.