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Finding the Fourth Proportional to 396,042.12, 594,057.76 and 96,525

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Solution

The fourth proportional to 396,042.12, 594,057.76 and 96,525 is: 144,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,042.12 : 594,057.76 = 96,525 : x
  2. Step 2: Convert to fraction form
    396,042.12/594,057.76 = 96,525/x
  3. Step 3: Cross multiply
    396,042.12x = 594,057.76 × 96,525
  4. Step 4: Simplify right side
    396,042.12x = 57,341,425,284
  5. Step 5: Solve for x
    x = 57,341,425,284/396,042.12
  6. Step 6: Final answer
    x = 144,786.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.