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Finding the Fourth Proportional to 302,713.07, 417,744 and 175,462.47

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Solution

The fourth proportional to 302,713.07, 417,744 and 175,462.47 is: 242,138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,713.07 : 417,744 = 175,462.47 : x
  2. Step 2: Convert to fraction form
    302,713.07/417,744 = 175,462.47/x
  3. Step 3: Cross multiply
    302,713.07x = 417,744 × 175,462.47
  4. Step 4: Simplify right side
    302,713.07x = 73,298,394,067.68
  5. Step 5: Solve for x
    x = 73,298,394,067.68/302,713.07
  6. Step 6: Final answer
    x = 242,138.19

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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.