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Finding the Fourth Proportional to 304,998.46, 457,558.86 and 105,326.20

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Solution

The fourth proportional to 304,998.46, 457,558.86 and 105,326.20 is: 158,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,998.46 : 457,558.86 = 105,326.20 : x
  2. Step 2: Convert to fraction form
    304,998.46/457,558.86 = 105,326.20/x
  3. Step 3: Cross multiply
    304,998.46x = 457,558.86 × 105,326.20
  4. Step 4: Simplify right side
    304,998.46x = 48,192,936,000.13
  5. Step 5: Solve for x
    x = 48,192,936,000.13/304,998.46
  6. Step 6: Final answer
    x = 158,010.42

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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.