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Finding the Fourth Proportional to 302,359.34, 417,255.38 and 166,402.06

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Solution

The fourth proportional to 302,359.34, 417,255.38 and 166,402.06 is: 229,634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,359.34 : 417,255.38 = 166,402.06 : x
  2. Step 2: Convert to fraction form
    302,359.34/417,255.38 = 166,402.06/x
  3. Step 3: Cross multiply
    302,359.34x = 417,255.38 × 166,402.06
  4. Step 4: Simplify right side
    302,359.34x = 69,432,154,778.08
  5. Step 5: Solve for x
    x = 69,432,154,778.08/302,359.34
  6. Step 6: Final answer
    x = 229,634.56

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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.