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Finding the Fourth Proportional to 462,813, 693,953.82 and 182,177.16

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Solution

The fourth proportional to 462,813, 693,953.82 and 182,177.16 is: 273,161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,813 : 693,953.82 = 182,177.16 : x
  2. Step 2: Convert to fraction form
    462,813/693,953.82 = 182,177.16/x
  3. Step 3: Cross multiply
    462,813x = 693,953.82 × 182,177.16
  4. Step 4: Simplify right side
    462,813x = 126,422,536,098.75
  5. Step 5: Solve for x
    x = 126,422,536,098.75/462,813
  6. Step 6: Final answer
    x = 273,161.16

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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.