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Finding the Fourth Proportional to 541,852.57, 812,780.75 and 182,013.13

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Solution

The fourth proportional to 541,852.57, 812,780.75 and 182,013.13 is: 273,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,852.57 : 812,780.75 = 182,013.13 : x
  2. Step 2: Convert to fraction form
    541,852.57/812,780.75 = 182,013.13/x
  3. Step 3: Cross multiply
    541,852.57x = 812,780.75 × 182,013.13
  4. Step 4: Simplify right side
    541,852.57x = 147,936,768,311.25
  5. Step 5: Solve for x
    x = 147,936,768,311.25/541,852.57
  6. Step 6: Final answer
    x = 273,020.33

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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.