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Finding the Fourth Proportional to 579,822, 799,882.02 and 410,149.68

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Solution

The fourth proportional to 579,822, 799,882.02 and 410,149.68 is: 565,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,822 : 799,882.02 = 410,149.68 : x
  2. Step 2: Convert to fraction form
    579,822/799,882.02 = 410,149.68/x
  3. Step 3: Cross multiply
    579,822x = 799,882.02 × 410,149.68
  4. Step 4: Simplify right side
    579,822x = 328,071,354,540.75
  5. Step 5: Solve for x
    x = 328,071,354,540.75/579,822
  6. Step 6: Final answer
    x = 565,813.91

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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.