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Finding the Fourth Proportional to 511,562.60, 705,968.79 and 282,123.21

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Solution

The fourth proportional to 511,562.60, 705,968.79 and 282,123.21 is: 389,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,562.60 : 705,968.79 = 282,123.21 : x
  2. Step 2: Convert to fraction form
    511,562.60/705,968.79 = 282,123.21/x
  3. Step 3: Cross multiply
    511,562.60x = 705,968.79 × 282,123.21
  4. Step 4: Simplify right side
    511,562.60x = 199,170,181,194.62
  5. Step 5: Solve for x
    x = 199,170,181,194.62/511,562.60
  6. Step 6: Final answer
    x = 389,336.87

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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.