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Finding the Fourth Proportional to 511,517.09, 705,957.23 and 293,793.95

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Solution

The fourth proportional to 511,517.09, 705,957.23 and 293,793.95 is: 405,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,517.09 : 705,957.23 = 293,793.95 : x
  2. Step 2: Convert to fraction form
    511,517.09/705,957.23 = 293,793.95/x
  3. Step 3: Cross multiply
    511,517.09x = 705,957.23 × 293,793.95
  4. Step 4: Simplify right side
    511,517.09x = 207,405,961,580.89
  5. Step 5: Solve for x
    x = 207,405,961,580.89/511,517.09
  6. Step 6: Final answer
    x = 405,472.20

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Why These Related Problems?

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