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Finding the Fourth Proportional to 511,696.30, 767,803.26 and 341,034.46

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Solution

The fourth proportional to 511,696.30, 767,803.26 and 341,034.46 is: 511,724.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,696.30 : 767,803.26 = 341,034.46 : x
  2. Step 2: Convert to fraction form
    511,696.30/767,803.26 = 341,034.46/x
  3. Step 3: Cross multiply
    511,696.30x = 767,803.26 × 341,034.46
  4. Step 4: Simplify right side
    511,696.30x = 261,847,370,160.34
  5. Step 5: Solve for x
    x = 261,847,370,160.34/511,696.30
  6. Step 6: Final answer
    x = 511,724.18

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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.