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Finding the Fourth Proportional to 550,713.70, 826,239.65 and 262,892.59

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Solution

The fourth proportional to 550,713.70, 826,239.65 and 262,892.59 is: 394,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,713.70 : 826,239.65 = 262,892.59 : x
  2. Step 2: Convert to fraction form
    550,713.70/826,239.65 = 262,892.59/x
  3. Step 3: Cross multiply
    550,713.70x = 826,239.65 × 262,892.59
  4. Step 4: Simplify right side
    550,713.70x = 217,212,281,549.19
  5. Step 5: Solve for x
    x = 217,212,281,549.19/550,713.70
  6. Step 6: Final answer
    x = 394,419.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.