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Finding the Fourth Proportional to 383,595.09, 575,558.54 and 205,894.48

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Solution

The fourth proportional to 383,595.09, 575,558.54 and 205,894.48 is: 308,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,595.09 : 575,558.54 = 205,894.48 : x
  2. Step 2: Convert to fraction form
    383,595.09/575,558.54 = 205,894.48/x
  3. Step 3: Cross multiply
    383,595.09x = 575,558.54 × 205,894.48
  4. Step 4: Simplify right side
    383,595.09x = 118,504,326,302.86
  5. Step 5: Solve for x
    x = 118,504,326,302.86/383,595.09
  6. Step 6: Final answer
    x = 308,930.77

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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.