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Finding the Fourth Proportional to 547,713.27, 821,486.76 and 192,644.28

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Solution

The fourth proportional to 547,713.27, 821,486.76 and 192,644.28 is: 288,937.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,713.27 : 821,486.76 = 192,644.28 : x
  2. Step 2: Convert to fraction form
    547,713.27/821,486.76 = 192,644.28/x
  3. Step 3: Cross multiply
    547,713.27x = 821,486.76 × 192,644.28
  4. Step 4: Simplify right side
    547,713.27x = 158,254,725,409.73
  5. Step 5: Solve for x
    x = 158,254,725,409.73/547,713.27
  6. Step 6: Final answer
    x = 288,937.18

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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.