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Finding the Fourth Proportional to 443,424.20, 665,136.30 and 256,339.40

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Solution

The fourth proportional to 443,424.20, 665,136.30 and 256,339.40 is: 384,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,424.20 : 665,136.30 = 256,339.40 : x
  2. Step 2: Convert to fraction form
    443,424.20/665,136.30 = 256,339.40/x
  3. Step 3: Cross multiply
    443,424.20x = 665,136.30 × 256,339.40
  4. Step 4: Simplify right side
    443,424.20x = 170,500,640,060.22
  5. Step 5: Solve for x
    x = 170,500,640,060.22/443,424.20
  6. Step 6: Final answer
    x = 384,509.10

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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.