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Finding the Fourth Proportional to 465,884.85, 698,806.94 and 146,029.42

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Solution

The fourth proportional to 465,884.85, 698,806.94 and 146,029.42 is: 219,037.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,884.85 : 698,806.94 = 146,029.42 : x
  2. Step 2: Convert to fraction form
    465,884.85/698,806.94 = 146,029.42/x
  3. Step 3: Cross multiply
    465,884.85x = 698,806.94 × 146,029.42
  4. Step 4: Simplify right side
    465,884.85x = 102,046,372,140.18
  5. Step 5: Solve for x
    x = 102,046,372,140.18/465,884.85
  6. Step 6: Final answer
    x = 219,037.76

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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.