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Finding the Fourth Proportional to 302,742, 417,796.92 and 168,606

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Solution

The fourth proportional to 302,742, 417,796.92 and 168,606 is: 232,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,742 : 417,796.92 = 168,606 : x
  2. Step 2: Convert to fraction form
    302,742/417,796.92 = 168,606/x
  3. Step 3: Cross multiply
    302,742x = 417,796.92 × 168,606
  4. Step 4: Simplify right side
    302,742x = 70,443,067,493.52
  5. Step 5: Solve for x
    x = 70,443,067,493.52/302,742
  6. Step 6: Final answer
    x = 232,683.50

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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.