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Finding the Fourth Proportional to 304,203.89, 456,270.97 and 79,586

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Solution

The fourth proportional to 304,203.89, 456,270.97 and 79,586 is: 119,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,203.89 : 456,270.97 = 79,586 : x
  2. Step 2: Convert to fraction form
    304,203.89/456,270.97 = 79,586/x
  3. Step 3: Cross multiply
    304,203.89x = 456,270.97 × 79,586
  4. Step 4: Simplify right side
    304,203.89x = 36,312,781,418.42
  5. Step 5: Solve for x
    x = 36,312,781,418.42/304,203.89
  6. Step 6: Final answer
    x = 119,369.88

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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.