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Finding the Fourth Proportional to 383,448.46, 575,173.32 and 382,894.42

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Solution

The fourth proportional to 383,448.46, 575,173.32 and 382,894.42 is: 574,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,448.46 : 575,173.32 = 382,894.42 : x
  2. Step 2: Convert to fraction form
    383,448.46/575,173.32 = 382,894.42/x
  3. Step 3: Cross multiply
    383,448.46x = 575,173.32 × 382,894.42
  4. Step 4: Simplify right side
    383,448.46x = 220,230,654,760.87
  5. Step 5: Solve for x
    x = 220,230,654,760.87/383,448.46
  6. Step 6: Final answer
    x = 574,342.26

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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.