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Finding the Fourth Proportional to 302,714.28, 417,748.59 and 166,748.85

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Solution

The fourth proportional to 302,714.28, 417,748.59 and 166,748.85 is: 230,115.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,714.28 : 417,748.59 = 166,748.85 : x
  2. Step 2: Convert to fraction form
    302,714.28/417,748.59 = 166,748.85/x
  3. Step 3: Cross multiply
    302,714.28x = 417,748.59 × 166,748.85
  4. Step 4: Simplify right side
    302,714.28x = 69,659,096,971.62
  5. Step 5: Solve for x
    x = 69,659,096,971.62/302,714.28
  6. Step 6: Final answer
    x = 230,115.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.