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Finding the Fourth Proportional to 297,112.34, 410,024.33 and 168,048.31

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Solution

The fourth proportional to 297,112.34, 410,024.33 and 168,048.31 is: 231,911.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,112.34 : 410,024.33 = 168,048.31 : x
  2. Step 2: Convert to fraction form
    297,112.34/410,024.33 = 168,048.31/x
  3. Step 3: Cross multiply
    297,112.34x = 410,024.33 × 168,048.31
  4. Step 4: Simplify right side
    297,112.34x = 68,903,895,715.38
  5. Step 5: Solve for x
    x = 68,903,895,715.38/297,112.34
  6. Step 6: Final answer
    x = 231,911.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.