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Finding the Fourth Proportional to 579,609, 799,588.26 and 409,936.68

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Solution

The fourth proportional to 579,609, 799,588.26 and 409,936.68 is: 565,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,609 : 799,588.26 = 409,936.68 : x
  2. Step 2: Convert to fraction form
    579,609/799,588.26 = 409,936.68/x
  3. Step 3: Cross multiply
    579,609x = 799,588.26 × 409,936.68
  4. Step 4: Simplify right side
    579,609x = 327,780,556,671.38
  5. Step 5: Solve for x
    x = 327,780,556,671.38/579,609
  6. Step 6: Final answer
    x = 565,520.13

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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.