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Finding the Fourth Proportional to 304,032.16, 419,551.28 and 166,208.46

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Solution

The fourth proportional to 304,032.16, 419,551.28 and 166,208.46 is: 229,360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,032.16 : 419,551.28 = 166,208.46 : x
  2. Step 2: Convert to fraction form
    304,032.16/419,551.28 = 166,208.46/x
  3. Step 3: Cross multiply
    304,032.16x = 419,551.28 × 166,208.46
  4. Step 4: Simplify right side
    304,032.16x = 69,732,972,139.83
  5. Step 5: Solve for x
    x = 69,732,972,139.83/304,032.16
  6. Step 6: Final answer
    x = 229,360.51

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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.