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Finding the Fourth Proportional to 304,760.73, 457,171.17 and 105,054.81

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Solution

The fourth proportional to 304,760.73, 457,171.17 and 105,054.81 is: 157,592.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,760.73 : 457,171.17 = 105,054.81 : x
  2. Step 2: Convert to fraction form
    304,760.73/457,171.17 = 105,054.81/x
  3. Step 3: Cross multiply
    304,760.73x = 457,171.17 × 105,054.81
  4. Step 4: Simplify right side
    304,760.73x = 48,028,030,401.83
  5. Step 5: Solve for x
    x = 48,028,030,401.83/304,760.73
  6. Step 6: Final answer
    x = 157,592.58

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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.