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Finding the Fourth Proportional to 646,874.09, 892,080.77 and 511,232.09

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Solution

The fourth proportional to 646,874.09, 892,080.77 and 511,232.09 is: 705,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,874.09 : 892,080.77 = 511,232.09 : x
  2. Step 2: Convert to fraction form
    646,874.09/892,080.77 = 511,232.09/x
  3. Step 3: Cross multiply
    646,874.09x = 892,080.77 × 511,232.09
  4. Step 4: Simplify right side
    646,874.09x = 456,060,311,709.55
  5. Step 5: Solve for x
    x = 456,060,311,709.55/646,874.09
  6. Step 6: Final answer
    x = 705,021.77

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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.