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Finding the Fourth Proportional to 383,506.72, 575,429.54 and 201,093.96

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Solution

The fourth proportional to 383,506.72, 575,429.54 and 201,093.96 is: 301,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,506.72 : 575,429.54 = 201,093.96 : x
  2. Step 2: Convert to fraction form
    383,506.72/575,429.54 = 201,093.96/x
  3. Step 3: Cross multiply
    383,506.72x = 575,429.54 × 201,093.96
  4. Step 4: Simplify right side
    383,506.72x = 115,715,405,242.77
  5. Step 5: Solve for x
    x = 115,715,405,242.77/383,506.72
  6. Step 6: Final answer
    x = 301,729.80

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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.