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Finding the Fourth Proportional to 302,894.01, 417,996.59 and 166,932.86

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Solution

The fourth proportional to 302,894.01, 417,996.59 and 166,932.86 is: 230,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,894.01 : 417,996.59 = 166,932.86 : x
  2. Step 2: Convert to fraction form
    302,894.01/417,996.59 = 166,932.86/x
  3. Step 3: Cross multiply
    302,894.01x = 417,996.59 × 166,932.86
  4. Step 4: Simplify right side
    302,894.01x = 69,777,363,314.30
  5. Step 5: Solve for x
    x = 69,777,363,314.30/302,894.01
  6. Step 6: Final answer
    x = 230,368.91

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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.