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Finding the Fourth Proportional to 596,708.94, 823,826.26 and 410,757.90

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Solution

The fourth proportional to 596,708.94, 823,826.26 and 410,757.90 is: 567,099.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,708.94 : 823,826.26 = 410,757.90 : x
  2. Step 2: Convert to fraction form
    596,708.94/823,826.26 = 410,757.90/x
  3. Step 3: Cross multiply
    596,708.94x = 823,826.26 × 410,757.90
  4. Step 4: Simplify right side
    596,708.94x = 338,393,144,522.45
  5. Step 5: Solve for x
    x = 338,393,144,522.45/596,708.94
  6. Step 6: Final answer
    x = 567,099.17

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