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Finding the Fourth Proportional to 311,642.33, 466,987.81 and 185,033.25

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Solution

The fourth proportional to 311,642.33, 466,987.81 and 185,033.25 is: 277,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,642.33 : 466,987.81 = 185,033.25 : x
  2. Step 2: Convert to fraction form
    311,642.33/466,987.81 = 185,033.25/x
  3. Step 3: Cross multiply
    311,642.33x = 466,987.81 × 185,033.25
  4. Step 4: Simplify right side
    311,642.33x = 86,408,272,194.68
  5. Step 5: Solve for x
    x = 86,408,272,194.68/311,642.33
  6. Step 6: Final answer
    x = 277,267.45

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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.