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Finding the Fourth Proportional to 310,184.82, 465,022.95 and 110,391.44

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Solution

The fourth proportional to 310,184.82, 465,022.95 and 110,391.44 is: 165,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,184.82 : 465,022.95 = 110,391.44 : x
  2. Step 2: Convert to fraction form
    310,184.82/465,022.95 = 110,391.44/x
  3. Step 3: Cross multiply
    310,184.82x = 465,022.95 × 110,391.44
  4. Step 4: Simplify right side
    310,184.82x = 51,334,550,344.47
  5. Step 5: Solve for x
    x = 51,334,550,344.47/310,184.82
  6. Step 6: Final answer
    x = 165,496.66

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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.