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Finding the Fourth Proportional to 337,453.39, 465,802.95 and 194,270.50

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Solution

The fourth proportional to 337,453.39, 465,802.95 and 194,270.50 is: 268,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,453.39 : 465,802.95 = 194,270.50 : x
  2. Step 2: Convert to fraction form
    337,453.39/465,802.95 = 194,270.50/x
  3. Step 3: Cross multiply
    337,453.39x = 465,802.95 × 194,270.50
  4. Step 4: Simplify right side
    337,453.39x = 90,491,773,308.74
  5. Step 5: Solve for x
    x = 90,491,773,308.74/337,453.39
  6. Step 6: Final answer
    x = 268,160.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.