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Finding the Fourth Proportional to 446,425.96, 616,072.38 and 242,478.88

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Solution

The fourth proportional to 446,425.96, 616,072.38 and 242,478.88 is: 334,623.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,425.96 : 616,072.38 = 242,478.88 : x
  2. Step 2: Convert to fraction form
    446,425.96/616,072.38 = 242,478.88/x
  3. Step 3: Cross multiply
    446,425.96x = 616,072.38 × 242,478.88
  4. Step 4: Simplify right side
    446,425.96x = 149,384,540,701.33
  5. Step 5: Solve for x
    x = 149,384,540,701.33/446,425.96
  6. Step 6: Final answer
    x = 334,623.33

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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.