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Finding the Fourth Proportional to 383,882.00, 575,907.23 and 117,662.54

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Solution

The fourth proportional to 383,882.00, 575,907.23 and 117,662.54 is: 176,519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,882.00 : 575,907.23 = 117,662.54 : x
  2. Step 2: Convert to fraction form
    383,882.00/575,907.23 = 117,662.54/x
  3. Step 3: Cross multiply
    383,882.00x = 575,907.23 × 117,662.54
  4. Step 4: Simplify right side
    383,882.00x = 67,762,704,900.78
  5. Step 5: Solve for x
    x = 67,762,704,900.78/383,882.00
  6. Step 6: Final answer
    x = 176,519.62

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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.