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Finding the Fourth Proportional to 675,794.80, 1,013,725.84 and 202,435.04

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Solution

The fourth proportional to 675,794.80, 1,013,725.84 and 202,435.04 is: 303,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,794.80 : 1,013,725.84 = 202,435.04 : x
  2. Step 2: Convert to fraction form
    675,794.80/1,013,725.84 = 202,435.04/x
  3. Step 3: Cross multiply
    675,794.80x = 1,013,725.84 × 202,435.04
  4. Step 4: Simplify right side
    675,794.80x = 205,213,630,969.43
  5. Step 5: Solve for x
    x = 205,213,630,969.43/675,794.80
  6. Step 6: Final answer
    x = 303,662.64

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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.