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Finding the Fourth Proportional to 802,697.52, 1,204,223.76 and 270,201

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Solution

The fourth proportional to 802,697.52, 1,204,223.76 and 270,201 is: 405,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,697.52 : 1,204,223.76 = 270,201 : x
  2. Step 2: Convert to fraction form
    802,697.52/1,204,223.76 = 270,201/x
  3. Step 3: Cross multiply
    802,697.52x = 1,204,223.76 × 270,201
  4. Step 4: Simplify right side
    802,697.52x = 325,382,464,175.76
  5. Step 5: Solve for x
    x = 325,382,464,175.76/802,697.52
  6. Step 6: Final answer
    x = 405,361.24

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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.