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Finding the Fourth Proportional to 413,997.51, 620,996.27 and 133,514.76

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Solution

The fourth proportional to 413,997.51, 620,996.27 and 133,514.76 is: 200,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,997.51 : 620,996.27 = 133,514.76 : x
  2. Step 2: Convert to fraction form
    413,997.51/620,996.27 = 133,514.76/x
  3. Step 3: Cross multiply
    413,997.51x = 620,996.27 × 133,514.76
  4. Step 4: Simplify right side
    413,997.51x = 82,912,167,282.37
  5. Step 5: Solve for x
    x = 82,912,167,282.37/413,997.51
  6. Step 6: Final answer
    x = 200,272.14

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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.