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Finding the Fourth Proportional to 304,768.60, 457,671.30 and 225,971.80

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Solution

The fourth proportional to 304,768.60, 457,671.30 and 225,971.80 is: 339,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,768.60 : 457,671.30 = 225,971.80 : x
  2. Step 2: Convert to fraction form
    304,768.60/457,671.30 = 225,971.80/x
  3. Step 3: Cross multiply
    304,768.60x = 457,671.30 × 225,971.80
  4. Step 4: Simplify right side
    304,768.60x = 103,420,807,469.34
  5. Step 5: Solve for x
    x = 103,420,807,469.34/304,768.60
  6. Step 6: Final answer
    x = 339,342.07

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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.