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Finding the Fourth Proportional to 302,453.76, 417,380.94 and 166,490.40

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Solution

The fourth proportional to 302,453.76, 417,380.94 and 166,490.40 is: 229,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,453.76 : 417,380.94 = 166,490.40 : x
  2. Step 2: Convert to fraction form
    302,453.76/417,380.94 = 166,490.40/x
  3. Step 3: Cross multiply
    302,453.76x = 417,380.94 × 166,490.40
  4. Step 4: Simplify right side
    302,453.76x = 69,489,919,652.98
  5. Step 5: Solve for x
    x = 69,489,919,652.98/302,453.76
  6. Step 6: Final answer
    x = 229,753.86

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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.