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Finding the Fourth Proportional to 468,857.68, 647,021.46 and 253,997.08

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Solution

The fourth proportional to 468,857.68, 647,021.46 and 253,997.08 is: 350,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,857.68 : 647,021.46 = 253,997.08 : x
  2. Step 2: Convert to fraction form
    468,857.68/647,021.46 = 253,997.08/x
  3. Step 3: Cross multiply
    468,857.68x = 647,021.46 × 253,997.08
  4. Step 4: Simplify right side
    468,857.68x = 164,341,561,537.34
  5. Step 5: Solve for x
    x = 164,341,561,537.34/468,857.68
  6. Step 6: Final answer
    x = 350,514.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.