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Finding the Fourth Proportional to 460,295.10, 690,481.62 and 140,518.62

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Solution

The fourth proportional to 460,295.10, 690,481.62 and 140,518.62 is: 210,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,295.10 : 690,481.62 = 140,518.62 : x
  2. Step 2: Convert to fraction form
    460,295.10/690,481.62 = 140,518.62/x
  3. Step 3: Cross multiply
    460,295.10x = 690,481.62 × 140,518.62
  4. Step 4: Simplify right side
    460,295.10x = 97,025,524,377.76
  5. Step 5: Solve for x
    x = 97,025,524,377.76/460,295.10
  6. Step 6: Final answer
    x = 210,789.83

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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.