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Finding the Fourth Proportional to 288,609.62, 432,914.43 and 174,780.38

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Solution

The fourth proportional to 288,609.62, 432,914.43 and 174,780.38 is: 262,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,609.62 : 432,914.43 = 174,780.38 : x
  2. Step 2: Convert to fraction form
    288,609.62/432,914.43 = 174,780.38/x
  3. Step 3: Cross multiply
    288,609.62x = 432,914.43 × 174,780.38
  4. Step 4: Simplify right side
    288,609.62x = 75,664,946,418.31
  5. Step 5: Solve for x
    x = 75,664,946,418.31/288,609.62
  6. Step 6: Final answer
    x = 262,170.56

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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.