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Finding the Fourth Proportional to 465,648.83, 697,889.18 and 199,096.46

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Solution

The fourth proportional to 465,648.83, 697,889.18 and 199,096.46 is: 298,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,648.83 : 697,889.18 = 199,096.46 : x
  2. Step 2: Convert to fraction form
    465,648.83/697,889.18 = 199,096.46/x
  3. Step 3: Cross multiply
    465,648.83x = 697,889.18 × 199,096.46
  4. Step 4: Simplify right side
    465,648.83x = 138,947,264,835.68
  5. Step 5: Solve for x
    x = 138,947,264,835.68/465,648.83
  6. Step 6: Final answer
    x = 298,394.96

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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.