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Finding the Fourth Proportional to 383,684.80, 576,218.40 and 371,243.20

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Solution

The fourth proportional to 383,684.80, 576,218.40 and 371,243.20 is: 557,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,684.80 : 576,218.40 = 371,243.20 : x
  2. Step 2: Convert to fraction form
    383,684.80/576,218.40 = 371,243.20/x
  3. Step 3: Cross multiply
    383,684.80x = 576,218.40 × 371,243.20
  4. Step 4: Simplify right side
    383,684.80x = 213,917,162,714.88
  5. Step 5: Solve for x
    x = 213,917,162,714.88/383,684.80
  6. Step 6: Final answer
    x = 557,533.59

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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.