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Finding the Fourth Proportional to 302,245.28, 417,090.12 and 164,419.62

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Solution

The fourth proportional to 302,245.28, 417,090.12 and 164,419.62 is: 226,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,245.28 : 417,090.12 = 164,419.62 : x
  2. Step 2: Convert to fraction form
    302,245.28/417,090.12 = 164,419.62/x
  3. Step 3: Cross multiply
    302,245.28x = 417,090.12 × 164,419.62
  4. Step 4: Simplify right side
    302,245.28x = 68,577,799,036.15
  5. Step 5: Solve for x
    x = 68,577,799,036.15/302,245.28
  6. Step 6: Final answer
    x = 226,894.52

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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.