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Finding the Fourth Proportional to 302,750, 417,807.96 and 168,614

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Solution

The fourth proportional to 302,750, 417,807.96 and 168,614 is: 232,694.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,750 : 417,807.96 = 168,614 : x
  2. Step 2: Convert to fraction form
    302,750/417,807.96 = 168,614/x
  3. Step 3: Cross multiply
    302,750x = 417,807.96 × 168,614
  4. Step 4: Simplify right side
    302,750x = 70,448,271,367.44
  5. Step 5: Solve for x
    x = 70,448,271,367.44/302,750
  6. Step 6: Final answer
    x = 232,694.54

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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.