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Finding the Fourth Proportional to 289,889.72, 434,005.14 and 196,227.80

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Solution

The fourth proportional to 289,889.72, 434,005.14 and 196,227.80 is: 293,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,889.72 : 434,005.14 = 196,227.80 : x
  2. Step 2: Convert to fraction form
    289,889.72/434,005.14 = 196,227.80/x
  3. Step 3: Cross multiply
    289,889.72x = 434,005.14 × 196,227.80
  4. Step 4: Simplify right side
    289,889.72x = 85,163,873,810.89
  5. Step 5: Solve for x
    x = 85,163,873,810.89/289,889.72
  6. Step 6: Final answer
    x = 293,780.25

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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.