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Finding the Fourth Proportional to 276,046.60, 413,195.10 and 197,314.60

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Solution

The fourth proportional to 276,046.60, 413,195.10 and 197,314.60 is: 295,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,046.60 : 413,195.10 = 197,314.60 : x
  2. Step 2: Convert to fraction form
    276,046.60/413,195.10 = 197,314.60/x
  3. Step 3: Cross multiply
    276,046.60x = 413,195.10 × 197,314.60
  4. Step 4: Simplify right side
    276,046.60x = 81,529,425,878.46
  5. Step 5: Solve for x
    x = 81,529,425,878.46/276,046.60
  6. Step 6: Final answer
    x = 295,346.60

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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.