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Finding the Fourth Proportional to 464,626.60, 641,223.36 and 257,914.44

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Solution

The fourth proportional to 464,626.60, 641,223.36 and 257,914.44 is: 355,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,626.60 : 641,223.36 = 257,914.44 : x
  2. Step 2: Convert to fraction form
    464,626.60/641,223.36 = 257,914.44/x
  3. Step 3: Cross multiply
    464,626.60x = 641,223.36 × 257,914.44
  4. Step 4: Simplify right side
    464,626.60x = 165,380,763,809.32
  5. Step 5: Solve for x
    x = 165,380,763,809.32/464,626.60
  6. Step 6: Final answer
    x = 355,943.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.