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Finding the Fourth Proportional to 416,160.54, 624,268.50 and 146,256.04

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Solution

The fourth proportional to 416,160.54, 624,268.50 and 146,256.04 is: 219,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,160.54 : 624,268.50 = 146,256.04 : x
  2. Step 2: Convert to fraction form
    416,160.54/624,268.50 = 146,256.04/x
  3. Step 3: Cross multiply
    416,160.54x = 624,268.50 × 146,256.04
  4. Step 4: Simplify right side
    416,160.54x = 91,303,036,414.79
  5. Step 5: Solve for x
    x = 91,303,036,414.79/416,160.54
  6. Step 6: Final answer
    x = 219,393.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.