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Finding the Fourth Proportional to 511,090.16, 705,309.14 and 281,655.65

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Solution

The fourth proportional to 511,090.16, 705,309.14 and 281,655.65 is: 388,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,090.16 : 705,309.14 = 281,655.65 : x
  2. Step 2: Convert to fraction form
    511,090.16/705,309.14 = 281,655.65/x
  3. Step 3: Cross multiply
    511,090.16x = 705,309.14 × 281,655.65
  4. Step 4: Simplify right side
    511,090.16x = 198,654,306,745.05
  5. Step 5: Solve for x
    x = 198,654,306,745.05/511,090.16
  6. Step 6: Final answer
    x = 388,687.41

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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.