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Finding the Fourth Proportional to 382,858.69, 574,370.10 and 116,640.67

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Solution

The fourth proportional to 382,858.69, 574,370.10 and 116,640.67 is: 174,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,858.69 : 574,370.10 = 116,640.67 : x
  2. Step 2: Convert to fraction form
    382,858.69/574,370.10 = 116,640.67/x
  3. Step 3: Cross multiply
    382,858.69x = 574,370.10 × 116,640.67
  4. Step 4: Simplify right side
    382,858.69x = 66,994,913,291.97
  5. Step 5: Solve for x
    x = 66,994,913,291.97/382,858.69
  6. Step 6: Final answer
    x = 174,986.01

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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.