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Finding the Fourth Proportional to 396,953.96, 595,081.02 and 147,461

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Solution

The fourth proportional to 396,953.96, 595,081.02 and 147,461 is: 221,061.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,953.96 : 595,081.02 = 147,461 : x
  2. Step 2: Convert to fraction form
    396,953.96/595,081.02 = 147,461/x
  3. Step 3: Cross multiply
    396,953.96x = 595,081.02 × 147,461
  4. Step 4: Simplify right side
    396,953.96x = 87,751,242,290.22
  5. Step 5: Solve for x
    x = 87,751,242,290.22/396,953.96
  6. Step 6: Final answer
    x = 221,061.51

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Why These Related Problems?

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