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Finding the Fourth Proportional to 304,654.15, 457,060.07 and 178,401.07

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Solution

The fourth proportional to 304,654.15, 457,060.07 and 178,401.07 is: 267,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,654.15 : 457,060.07 = 178,401.07 : x
  2. Step 2: Convert to fraction form
    304,654.15/457,060.07 = 178,401.07/x
  3. Step 3: Cross multiply
    304,654.15x = 457,060.07 × 178,401.07
  4. Step 4: Simplify right side
    304,654.15x = 81,540,005,542.27
  5. Step 5: Solve for x
    x = 81,540,005,542.27/304,654.15
  6. Step 6: Final answer
    x = 267,647.78

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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.