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Finding the Fourth Proportional to 517,178.27, 713,703.83 and 287,757.51

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Solution

The fourth proportional to 517,178.27, 713,703.83 and 287,757.51 is: 397,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,178.27 : 713,703.83 = 287,757.51 : x
  2. Step 2: Convert to fraction form
    517,178.27/713,703.83 = 287,757.51/x
  3. Step 3: Cross multiply
    517,178.27x = 713,703.83 × 287,757.51
  4. Step 4: Simplify right side
    517,178.27x = 205,373,635,559.48
  5. Step 5: Solve for x
    x = 205,373,635,559.48/517,178.27
  6. Step 6: Final answer
    x = 397,104.15

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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.