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Finding the Fourth Proportional to 802,698.52, 1,204,225.26 and 270,202

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Solution

The fourth proportional to 802,698.52, 1,204,225.26 and 270,202 is: 405,362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,698.52 : 1,204,225.26 = 270,202 : x
  2. Step 2: Convert to fraction form
    802,698.52/1,204,225.26 = 270,202/x
  3. Step 3: Cross multiply
    802,698.52x = 1,204,225.26 × 270,202
  4. Step 4: Simplify right side
    802,698.52x = 325,384,073,702.52
  5. Step 5: Solve for x
    x = 325,384,073,702.52/802,698.52
  6. Step 6: Final answer
    x = 405,362.74

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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.