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Finding the Fourth Proportional to 383,425.58, 575,075.97 and 181,021.25

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Solution

The fourth proportional to 383,425.58, 575,075.97 and 181,021.25 is: 271,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,425.58 : 575,075.97 = 181,021.25 : x
  2. Step 2: Convert to fraction form
    383,425.58/575,075.97 = 181,021.25/x
  3. Step 3: Cross multiply
    383,425.58x = 575,075.97 × 181,021.25
  4. Step 4: Simplify right side
    383,425.58x = 104,100,972,372.05
  5. Step 5: Solve for x
    x = 104,100,972,372.05/383,425.58
  6. Step 6: Final answer
    x = 271,502.42

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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.