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Finding the Fourth Proportional to 443,300.70, 664,951.05 and 256,215.90

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Solution

The fourth proportional to 443,300.70, 664,951.05 and 256,215.90 is: 384,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,300.70 : 664,951.05 = 256,215.90 : x
  2. Step 2: Convert to fraction form
    443,300.70/664,951.05 = 256,215.90/x
  3. Step 3: Cross multiply
    443,300.70x = 664,951.05 × 256,215.90
  4. Step 4: Simplify right side
    443,300.70x = 170,371,031,731.70
  5. Step 5: Solve for x
    x = 170,371,031,731.70/443,300.70
  6. Step 6: Final answer
    x = 384,323.85

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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.