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Finding the Fourth Proportional to 446,616.40, 616,323.64 and 245,408.08

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Solution

The fourth proportional to 446,616.40, 616,323.64 and 245,408.08 is: 338,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,616.40 : 616,323.64 = 245,408.08 : x
  2. Step 2: Convert to fraction form
    446,616.40/616,323.64 = 245,408.08/x
  3. Step 3: Cross multiply
    446,616.40x = 616,323.64 × 245,408.08
  4. Step 4: Simplify right side
    446,616.40x = 151,250,801,151.01
  5. Step 5: Solve for x
    x = 151,250,801,151.01/446,616.40
  6. Step 6: Final answer
    x = 338,659.31

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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.