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Finding the Fourth Proportional to 446,906.16, 616,698.36 and 255,914.64

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Solution

The fourth proportional to 446,906.16, 616,698.36 and 255,914.64 is: 353,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,906.16 : 616,698.36 = 255,914.64 : x
  2. Step 2: Convert to fraction form
    446,906.16/616,698.36 = 255,914.64/x
  3. Step 3: Cross multiply
    446,906.16x = 616,698.36 × 255,914.64
  4. Step 4: Simplify right side
    446,906.16x = 157,822,138,787.99
  5. Step 5: Solve for x
    x = 157,822,138,787.99/446,906.16
  6. Step 6: Final answer
    x = 353,143.80

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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.