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Finding the Fourth Proportional to 302,551.29, 417,517.34 and 166,582.40

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Solution

The fourth proportional to 302,551.29, 417,517.34 and 166,582.40 is: 229,881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,551.29 : 417,517.34 = 166,582.40 : x
  2. Step 2: Convert to fraction form
    302,551.29/417,517.34 = 166,582.40/x
  3. Step 3: Cross multiply
    302,551.29x = 417,517.34 × 166,582.40
  4. Step 4: Simplify right side
    302,551.29x = 69,551,037,618.32
  5. Step 5: Solve for x
    x = 69,551,037,618.32/302,551.29
  6. Step 6: Final answer
    x = 229,881.81

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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.