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Finding the Fourth Proportional to 307,020.78, 460,573.09 and 107,294.83

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Solution

The fourth proportional to 307,020.78, 460,573.09 and 107,294.83 is: 160,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,020.78 : 460,573.09 = 107,294.83 : x
  2. Step 2: Convert to fraction form
    307,020.78/460,573.09 = 107,294.83/x
  3. Step 3: Cross multiply
    307,020.78x = 460,573.09 × 107,294.83
  4. Step 4: Simplify right side
    307,020.78x = 49,417,109,974.45
  5. Step 5: Solve for x
    x = 49,417,109,974.45/307,020.78
  6. Step 6: Final answer
    x = 160,956.89

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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.