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Finding the Fourth Proportional to 511,512.64, 705,871.26 and 282,079.60

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Solution

The fourth proportional to 511,512.64, 705,871.26 and 282,079.60 is: 389,260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,512.64 : 705,871.26 = 282,079.60 : x
  2. Step 2: Convert to fraction form
    511,512.64/705,871.26 = 282,079.60/x
  3. Step 3: Cross multiply
    511,512.64x = 705,871.26 × 282,079.60
  4. Step 4: Simplify right side
    511,512.64x = 199,111,880,907.62
  5. Step 5: Solve for x
    x = 199,111,880,907.62/511,512.64
  6. Step 6: Final answer
    x = 389,260.92

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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.