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Finding the Fourth Proportional to 511,200.30, 705,446.98 and 278,629.26

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Solution

The fourth proportional to 511,200.30, 705,446.98 and 278,629.26 is: 384,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,200.30 : 705,446.98 = 278,629.26 : x
  2. Step 2: Convert to fraction form
    511,200.30/705,446.98 = 278,629.26/x
  3. Step 3: Cross multiply
    511,200.30x = 705,446.98 × 278,629.26
  4. Step 4: Simplify right side
    511,200.30x = 196,558,170,006.64
  5. Step 5: Solve for x
    x = 196,558,170,006.64/511,200.30
  6. Step 6: Final answer
    x = 384,503.24

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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.