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Finding the Fourth Proportional to 435,142.80, 652,195.80 and 182,422.80

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Solution

The fourth proportional to 435,142.80, 652,195.80 and 182,422.80 is: 273,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,142.80 : 652,195.80 = 182,422.80 : x
  2. Step 2: Convert to fraction form
    435,142.80/652,195.80 = 182,422.80/x
  3. Step 3: Cross multiply
    435,142.80x = 652,195.80 × 182,422.80
  4. Step 4: Simplify right side
    435,142.80x = 118,975,383,984.24
  5. Step 5: Solve for x
    x = 118,975,383,984.24/435,142.80
  6. Step 6: Final answer
    x = 273,416.87

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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.