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Finding the Fourth Proportional to 443,467.92, 664,898.34 and 159,152.16

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Solution

The fourth proportional to 443,467.92, 664,898.34 and 159,152.16 is: 238,619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,467.92 : 664,898.34 = 159,152.16 : x
  2. Step 2: Convert to fraction form
    443,467.92/664,898.34 = 159,152.16/x
  3. Step 3: Cross multiply
    443,467.92x = 664,898.34 × 159,152.16
  4. Step 4: Simplify right side
    443,467.92x = 105,820,006,991.41
  5. Step 5: Solve for x
    x = 105,820,006,991.41/443,467.92
  6. Step 6: Final answer
    x = 238,619.31

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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.