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Finding the Fourth Proportional to 383,265.55, 574,462.37 and 233,175

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Solution

The fourth proportional to 383,265.55, 574,462.37 and 233,175 is: 349,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,265.55 : 574,462.37 = 233,175 : x
  2. Step 2: Convert to fraction form
    383,265.55/574,462.37 = 233,175/x
  3. Step 3: Cross multiply
    383,265.55x = 574,462.37 × 233,175
  4. Step 4: Simplify right side
    383,265.55x = 133,950,263,124.75
  5. Step 5: Solve for x
    x = 133,950,263,124.75/383,265.55
  6. Step 6: Final answer
    x = 349,497.27

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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.