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Finding the Fourth Proportional to 442,467.50, 663,644.76 and 142,916.96

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Solution

The fourth proportional to 442,467.50, 663,644.76 and 142,916.96 is: 214,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,467.50 : 663,644.76 = 142,916.96 : x
  2. Step 2: Convert to fraction form
    442,467.50/663,644.76 = 142,916.96/x
  3. Step 3: Cross multiply
    442,467.50x = 663,644.76 × 142,916.96
  4. Step 4: Simplify right side
    442,467.50x = 94,846,091,619.13
  5. Step 5: Solve for x
    x = 94,846,091,619.13/442,467.50
  6. Step 6: Final answer
    x = 214,357.19

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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.