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Finding the Fourth Proportional to 304,654.90, 457,061.19 and 178,401.82

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Solution

The fourth proportional to 304,654.90, 457,061.19 and 178,401.82 is: 267,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,654.90 : 457,061.19 = 178,401.82 : x
  2. Step 2: Convert to fraction form
    304,654.90/457,061.19 = 178,401.82/x
  3. Step 3: Cross multiply
    304,654.90x = 457,061.19 × 178,401.82
  4. Step 4: Simplify right side
    304,654.90x = 81,540,548,147.37
  5. Step 5: Solve for x
    x = 81,540,548,147.37/304,654.90
  6. Step 6: Final answer
    x = 267,648.90

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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.