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Finding the Fourth Proportional to 314,285.63, 433,638.52 and 185,229.25

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Solution

The fourth proportional to 314,285.63, 433,638.52 and 185,229.25 is: 255,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,285.63 : 433,638.52 = 185,229.25 : x
  2. Step 2: Convert to fraction form
    314,285.63/433,638.52 = 185,229.25/x
  3. Step 3: Cross multiply
    314,285.63x = 433,638.52 × 185,229.25
  4. Step 4: Simplify right side
    314,285.63x = 80,322,536,283.54
  5. Step 5: Solve for x
    x = 80,322,536,283.54/314,285.63
  6. Step 6: Final answer
    x = 255,571.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.