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Finding the Fourth Proportional to 562,354.38, 843,534.81 and 229,930.38

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Solution

The fourth proportional to 562,354.38, 843,534.81 and 229,930.38 is: 344,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,354.38 : 843,534.81 = 229,930.38 : x
  2. Step 2: Convert to fraction form
    562,354.38/843,534.81 = 229,930.38/x
  3. Step 3: Cross multiply
    562,354.38x = 843,534.81 × 229,930.38
  4. Step 4: Simplify right side
    562,354.38x = 193,954,279,406.53
  5. Step 5: Solve for x
    x = 193,954,279,406.53/562,354.38
  6. Step 6: Final answer
    x = 344,896.89

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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.