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Finding the Fourth Proportional to 413,997.35, 620,996.02 and 133,514.60

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Solution

The fourth proportional to 413,997.35, 620,996.02 and 133,514.60 is: 200,271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,997.35 : 620,996.02 = 133,514.60 : x
  2. Step 2: Convert to fraction form
    413,997.35/620,996.02 = 133,514.60/x
  3. Step 3: Cross multiply
    413,997.35x = 620,996.02 × 133,514.60
  4. Step 4: Simplify right side
    413,997.35x = 82,912,031,773.13
  5. Step 5: Solve for x
    x = 82,912,031,773.13/413,997.35
  6. Step 6: Final answer
    x = 200,271.89

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1.5x scale

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.