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Finding the Fourth Proportional to 465,848.88, 698,954.76 and 185,394.48

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Solution

The fourth proportional to 465,848.88, 698,954.76 and 185,394.48 is: 278,163.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,848.88 : 698,954.76 = 185,394.48 : x
  2. Step 2: Convert to fraction form
    465,848.88/698,954.76 = 185,394.48/x
  3. Step 3: Cross multiply
    465,848.88x = 698,954.76 × 185,394.48
  4. Step 4: Simplify right side
    465,848.88x = 129,582,354,273.73
  5. Step 5: Solve for x
    x = 129,582,354,273.73/465,848.88
  6. Step 6: Final answer
    x = 278,163.93

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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.