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Finding the Fourth Proportional to 431,330.80, 647,125.80 and 306,914.80

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Solution

The fourth proportional to 431,330.80, 647,125.80 and 306,914.80 is: 460,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,330.80 : 647,125.80 = 306,914.80 : x
  2. Step 2: Convert to fraction form
    431,330.80/647,125.80 = 306,914.80/x
  3. Step 3: Cross multiply
    431,330.80x = 647,125.80 × 306,914.80
  4. Step 4: Simplify right side
    431,330.80x = 198,612,485,481.84
  5. Step 5: Solve for x
    x = 198,612,485,481.84/431,330.80
  6. Step 6: Final answer
    x = 460,464.42

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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.