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Finding the Fourth Proportional to 446,906.39, 616,684.63 and 265,583.44

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Solution

The fourth proportional to 446,906.39, 616,684.63 and 265,583.44 is: 366,477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,906.39 : 616,684.63 = 265,583.44 : x
  2. Step 2: Convert to fraction form
    446,906.39/616,684.63 = 265,583.44/x
  3. Step 3: Cross multiply
    446,906.39x = 616,684.63 × 265,583.44
  4. Step 4: Simplify right side
    446,906.39x = 163,781,221,019.19
  5. Step 5: Solve for x
    x = 163,781,221,019.19/446,906.39
  6. Step 6: Final answer
    x = 366,477.69

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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.