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Finding the Fourth Proportional to 511,687.11, 767,707.68 and 174,964.77

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Solution

The fourth proportional to 511,687.11, 767,707.68 and 174,964.77 is: 262,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,687.11 : 767,707.68 = 174,964.77 : x
  2. Step 2: Convert to fraction form
    511,687.11/767,707.68 = 174,964.77/x
  3. Step 3: Cross multiply
    511,687.11x = 767,707.68 × 174,964.77
  4. Step 4: Simplify right side
    511,687.11x = 134,321,797,658.43
  5. Step 5: Solve for x
    x = 134,321,797,658.43/511,687.11
  6. Step 6: Final answer
    x = 262,507.68

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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.