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Finding the Fourth Proportional to 461,626.48, 692,517.48 and 212,302

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Solution

The fourth proportional to 461,626.48, 692,517.48 and 212,302 is: 318,488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,626.48 : 692,517.48 = 212,302 : x
  2. Step 2: Convert to fraction form
    461,626.48/692,517.48 = 212,302/x
  3. Step 3: Cross multiply
    461,626.48x = 692,517.48 × 212,302
  4. Step 4: Simplify right side
    461,626.48x = 147,022,846,038.96
  5. Step 5: Solve for x
    x = 147,022,846,038.96/461,626.48
  6. Step 6: Final answer
    x = 318,488.76

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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.