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Finding the Fourth Proportional to 577,142.01, 796,678.07 and 516,605.85

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Solution

The fourth proportional to 577,142.01, 796,678.07 and 516,605.85 is: 713,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,142.01 : 796,678.07 = 516,605.85 : x
  2. Step 2: Convert to fraction form
    577,142.01/796,678.07 = 516,605.85/x
  3. Step 3: Cross multiply
    577,142.01x = 796,678.07 × 516,605.85
  4. Step 4: Simplify right side
    577,142.01x = 411,568,548,945.68
  5. Step 5: Solve for x
    x = 411,568,548,945.68/577,142.01
  6. Step 6: Final answer
    x = 713,114.87

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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.