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Finding the Fourth Proportional to 442,972.20, 664,328.70 and 158,629.80

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Solution

The fourth proportional to 442,972.20, 664,328.70 and 158,629.80 is: 237,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,972.20 : 664,328.70 = 158,629.80 : x
  2. Step 2: Convert to fraction form
    442,972.20/664,328.70 = 158,629.80/x
  3. Step 3: Cross multiply
    442,972.20x = 664,328.70 × 158,629.80
  4. Step 4: Simplify right side
    442,972.20x = 105,382,328,815.26
  5. Step 5: Solve for x
    x = 105,382,328,815.26/442,972.20
  6. Step 6: Final answer
    x = 237,898.29

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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.