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Finding the Fourth Proportional to 383,524.80, 575,978.40 and 371,083.20

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Solution

The fourth proportional to 383,524.80, 575,978.40 and 371,083.20 is: 557,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,524.80 : 575,978.40 = 371,083.20 : x
  2. Step 2: Convert to fraction form
    383,524.80/575,978.40 = 371,083.20/x
  3. Step 3: Cross multiply
    383,524.80x = 575,978.40 × 371,083.20
  4. Step 4: Simplify right side
    383,524.80x = 213,735,907,802.88
  5. Step 5: Solve for x
    x = 213,735,907,802.88/383,524.80
  6. Step 6: Final answer
    x = 557,293.58

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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.