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Finding the Fourth Proportional to 304,648.56, 456,846.75 and 115,076.70

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Solution

The fourth proportional to 304,648.56, 456,846.75 and 115,076.70 is: 172,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,648.56 : 456,846.75 = 115,076.70 : x
  2. Step 2: Convert to fraction form
    304,648.56/456,846.75 = 115,076.70/x
  3. Step 3: Cross multiply
    304,648.56x = 456,846.75 × 115,076.70
  4. Step 4: Simplify right side
    304,648.56x = 52,572,416,395.73
  5. Step 5: Solve for x
    x = 52,572,416,395.73/304,648.56
  6. Step 6: Final answer
    x = 172,567.42

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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.