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Finding the Fourth Proportional to 302,823.79, 417,891.32 and 166,870.28

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Solution

The fourth proportional to 302,823.79, 417,891.32 and 166,870.28 is: 230,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,823.79 : 417,891.32 = 166,870.28 : x
  2. Step 2: Convert to fraction form
    302,823.79/417,891.32 = 166,870.28/x
  3. Step 3: Cross multiply
    302,823.79x = 417,891.32 × 166,870.28
  4. Step 4: Simplify right side
    302,823.79x = 69,733,642,414.11
  5. Step 5: Solve for x
    x = 69,733,642,414.11/302,823.79
  6. Step 6: Final answer
    x = 230,277.95

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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.