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Finding the Fourth Proportional to 431,694.40, 647,541.60 and 136,206.40

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Solution

The fourth proportional to 431,694.40, 647,541.60 and 136,206.40 is: 204,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,694.40 : 647,541.60 = 136,206.40 : x
  2. Step 2: Convert to fraction form
    431,694.40/647,541.60 = 136,206.40/x
  3. Step 3: Cross multiply
    431,694.40x = 647,541.60 × 136,206.40
  4. Step 4: Simplify right side
    431,694.40x = 88,199,310,186.24
  5. Step 5: Solve for x
    x = 88,199,310,186.24/431,694.40
  6. Step 6: Final answer
    x = 204,309.60

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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.