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Finding the Fourth Proportional to 302,258.49, 417,116.74 and 166,289.53

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Solution

The fourth proportional to 302,258.49, 417,116.74 and 166,289.53 is: 229,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,258.49 : 417,116.74 = 166,289.53 : x
  2. Step 2: Convert to fraction form
    302,258.49/417,116.74 = 166,289.53/x
  3. Step 3: Cross multiply
    302,258.49x = 417,116.74 × 166,289.53
  4. Step 4: Simplify right side
    302,258.49x = 69,362,146,649.73
  5. Step 5: Solve for x
    x = 69,362,146,649.73/302,258.49
  6. Step 6: Final answer
    x = 229,479.56

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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.