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Finding the Fourth Proportional to 302,416.28, 417,340.17 and 166,449.27

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Solution

The fourth proportional to 302,416.28, 417,340.17 and 166,449.27 is: 229,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,416.28 : 417,340.17 = 166,449.27 : x
  2. Step 2: Convert to fraction form
    302,416.28/417,340.17 = 166,449.27/x
  3. Step 3: Cross multiply
    302,416.28x = 417,340.17 × 166,449.27
  4. Step 4: Simplify right side
    302,416.28x = 69,465,966,638.18
  5. Step 5: Solve for x
    x = 69,465,966,638.18/302,416.28
  6. Step 6: Final answer
    x = 229,703.13

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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.