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Finding the Fourth Proportional to 383,180.50, 575,279.43 and 327,379.06

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Solution

The fourth proportional to 383,180.50, 575,279.43 and 327,379.06 is: 491,503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,180.50 : 575,279.43 = 327,379.06 : x
  2. Step 2: Convert to fraction form
    383,180.50/575,279.43 = 327,379.06/x
  3. Step 3: Cross multiply
    383,180.50x = 575,279.43 × 327,379.06
  4. Step 4: Simplify right side
    383,180.50x = 188,334,439,030.74
  5. Step 5: Solve for x
    x = 188,334,439,030.74/383,180.50
  6. Step 6: Final answer
    x = 491,503.19

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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.