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Finding the Fourth Proportional to 383,592.26, 575,554.31 and 205,891.67

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Solution

The fourth proportional to 383,592.26, 575,554.31 and 205,891.67 is: 308,926.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,592.26 : 575,554.31 = 205,891.67 : x
  2. Step 2: Convert to fraction form
    383,592.26/575,554.31 = 205,891.67/x
  3. Step 3: Cross multiply
    383,592.26x = 575,554.31 × 205,891.67
  4. Step 4: Simplify right side
    383,592.26x = 118,501,838,703.54
  5. Step 5: Solve for x
    x = 118,501,838,703.54/383,592.26
  6. Step 6: Final answer
    x = 308,926.57

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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.