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Finding the Fourth Proportional to 415,421.68, 623,198.91 and 175,537.85

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Solution

The fourth proportional to 415,421.68, 623,198.91 and 175,537.85 is: 263,334.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,421.68 : 623,198.91 = 175,537.85 : x
  2. Step 2: Convert to fraction form
    415,421.68/623,198.91 = 175,537.85/x
  3. Step 3: Cross multiply
    415,421.68x = 623,198.91 × 175,537.85
  4. Step 4: Simplify right side
    415,421.68x = 109,394,994,786.90
  5. Step 5: Solve for x
    x = 109,394,994,786.90/415,421.68
  6. Step 6: Final answer
    x = 263,334.83

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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.