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Finding the Fourth Proportional to 416,143.80, 624,243.60 and 146,239.08

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Solution

The fourth proportional to 416,143.80, 624,243.60 and 146,239.08 is: 219,368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,143.80 : 624,243.60 = 146,239.08 : x
  2. Step 2: Convert to fraction form
    416,143.80/624,243.60 = 146,239.08/x
  3. Step 3: Cross multiply
    416,143.80x = 624,243.60 × 146,239.08
  4. Step 4: Simplify right side
    416,143.80x = 91,288,809,759.89
  5. Step 5: Solve for x
    x = 91,288,809,759.89/416,143.80
  6. Step 6: Final answer
    x = 219,368.42

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Why These Related Problems?

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