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Finding the Fourth Proportional to 383,286.36, 575,013.70 and 113,393.38

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Solution

The fourth proportional to 383,286.36, 575,013.70 and 113,393.38 is: 170,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,286.36 : 575,013.70 = 113,393.38 : x
  2. Step 2: Convert to fraction form
    383,286.36/575,013.70 = 113,393.38/x
  3. Step 3: Cross multiply
    383,286.36x = 575,013.70 × 113,393.38
  4. Step 4: Simplify right side
    383,286.36x = 65,202,746,989.31
  5. Step 5: Solve for x
    x = 65,202,746,989.31/383,286.36
  6. Step 6: Final answer
    x = 170,114.97

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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.