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Finding the Fourth Proportional to 285,674.90, 428,450.83 and 117,029.86

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Solution

The fourth proportional to 285,674.90, 428,450.83 and 117,029.86 is: 175,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,674.90 : 428,450.83 = 117,029.86 : x
  2. Step 2: Convert to fraction form
    285,674.90/428,450.83 = 117,029.86/x
  3. Step 3: Cross multiply
    285,674.90x = 428,450.83 × 117,029.86
  4. Step 4: Simplify right side
    285,674.90x = 50,141,539,288.08
  5. Step 5: Solve for x
    x = 50,141,539,288.08/285,674.90
  6. Step 6: Final answer
    x = 175,519.59

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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.