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Finding the Fourth Proportional to 462,395.67, 693,987.17 and 182,109.75

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Solution

The fourth proportional to 462,395.67, 693,987.17 and 182,109.75 is: 273,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,395.67 : 693,987.17 = 182,109.75 : x
  2. Step 2: Convert to fraction form
    462,395.67/693,987.17 = 182,109.75/x
  3. Step 3: Cross multiply
    462,395.67x = 693,987.17 × 182,109.75
  4. Step 4: Simplify right side
    462,395.67x = 126,381,829,121.36
  5. Step 5: Solve for x
    x = 126,381,829,121.36/462,395.67
  6. Step 6: Final answer
    x = 273,319.66

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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.