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Finding the Fourth Proportional to 383,558.63, 575,503.86 and 205,858.04

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Solution

The fourth proportional to 383,558.63, 575,503.86 and 205,858.04 is: 308,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,558.63 : 575,503.86 = 205,858.04 : x
  2. Step 2: Convert to fraction form
    383,558.63/575,503.86 = 205,858.04/x
  3. Step 3: Cross multiply
    383,558.63x = 575,503.86 × 205,858.04
  4. Step 4: Simplify right side
    383,558.63x = 118,472,093,754.52
  5. Step 5: Solve for x
    x = 118,472,093,754.52/383,558.63
  6. Step 6: Final answer
    x = 308,876.10

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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.