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Finding the Fourth Proportional to 383,179.50, 575,277.93 and 327,378.06

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Solution

The fourth proportional to 383,179.50, 575,277.93 and 327,378.06 is: 491,501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,179.50 : 575,277.93 = 327,378.06 : x
  2. Step 2: Convert to fraction form
    383,179.50/575,277.93 = 327,378.06/x
  3. Step 3: Cross multiply
    383,179.50x = 575,277.93 × 327,378.06
  4. Step 4: Simplify right side
    383,179.50x = 188,333,372,684.22
  5. Step 5: Solve for x
    x = 188,333,372,684.22/383,179.50
  6. Step 6: Final answer
    x = 491,501.69

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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.