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Finding the Fourth Proportional to 383,588.09, 575,361.32 and 117,348.62

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Solution

The fourth proportional to 383,588.09, 575,361.32 and 117,348.62 is: 176,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,588.09 : 575,361.32 = 117,348.62 : x
  2. Step 2: Convert to fraction form
    383,588.09/575,361.32 = 117,348.62/x
  3. Step 3: Cross multiply
    383,588.09x = 575,361.32 × 117,348.62
  4. Step 4: Simplify right side
    383,588.09x = 67,517,857,755.04
  5. Step 5: Solve for x
    x = 67,517,857,755.04/383,588.09
  6. Step 6: Final answer
    x = 176,016.57

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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.