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Finding the Fourth Proportional to 579,730, 799,755.24 and 410,057.68

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Solution

The fourth proportional to 579,730, 799,755.24 and 410,057.68 is: 565,687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,730 : 799,755.24 = 410,057.68 : x
  2. Step 2: Convert to fraction form
    579,730/799,755.24 = 410,057.68/x
  3. Step 3: Cross multiply
    579,730x = 799,755.24 × 410,057.68
  4. Step 4: Simplify right side
    579,730x = 327,945,778,282.24
  5. Step 5: Solve for x
    x = 327,945,778,282.24/579,730
  6. Step 6: Final answer
    x = 565,687.09

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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.