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Finding the Fourth Proportional to 289,514.62, 399,546.11 and 160,450.41

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Solution

The fourth proportional to 289,514.62, 399,546.11 and 160,450.41 is: 221,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,514.62 : 399,546.11 = 160,450.41 : x
  2. Step 2: Convert to fraction form
    289,514.62/399,546.11 = 160,450.41/x
  3. Step 3: Cross multiply
    289,514.62x = 399,546.11 × 160,450.41
  4. Step 4: Simplify right side
    289,514.62x = 64,107,335,763.41
  5. Step 5: Solve for x
    x = 64,107,335,763.41/289,514.62
  6. Step 6: Final answer
    x = 221,430.39

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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.