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Finding the Fourth Proportional to 446,821.92, 616,598.64 and 245,616.48

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Solution

The fourth proportional to 446,821.92, 616,598.64 and 245,616.48 is: 338,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,821.92 : 616,598.64 = 245,616.48 : x
  2. Step 2: Convert to fraction form
    446,821.92/616,598.64 = 245,616.48/x
  3. Step 3: Cross multiply
    446,821.92x = 616,598.64 × 245,616.48
  4. Step 4: Simplify right side
    446,821.92x = 151,446,787,529.59
  5. Step 5: Solve for x
    x = 151,446,787,529.59/446,821.92
  6. Step 6: Final answer
    x = 338,942.16

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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.