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Finding the Fourth Proportional to 310,216.78, 465,418.60 and 110,511.10

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Solution

The fourth proportional to 310,216.78, 465,418.60 and 110,511.10 is: 165,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,216.78 : 465,418.60 = 110,511.10 : x
  2. Step 2: Convert to fraction form
    310,216.78/465,418.60 = 110,511.10/x
  3. Step 3: Cross multiply
    310,216.78x = 465,418.60 × 110,511.10
  4. Step 4: Simplify right side
    310,216.78x = 51,433,921,446.46
  5. Step 5: Solve for x
    x = 51,433,921,446.46/310,216.78
  6. Step 6: Final answer
    x = 165,799.93

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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.