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Finding the Fourth Proportional to 304,793.78, 457,212.58 and 105,111.29

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Solution

The fourth proportional to 304,793.78, 457,212.58 and 105,111.29 is: 157,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,793.78 : 457,212.58 = 105,111.29 : x
  2. Step 2: Convert to fraction form
    304,793.78/457,212.58 = 105,111.29/x
  3. Step 3: Cross multiply
    304,793.78x = 457,212.58 × 105,111.29
  4. Step 4: Simplify right side
    304,793.78x = 48,058,204,968.28
  5. Step 5: Solve for x
    x = 48,058,204,968.28/304,793.78
  6. Step 6: Final answer
    x = 157,674.50

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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.