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Finding the Fourth Proportional to 312,389.85, 468,487.73 and 112,684.29

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Solution

The fourth proportional to 312,389.85, 468,487.73 and 112,684.29 is: 168,991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,389.85 : 468,487.73 = 112,684.29 : x
  2. Step 2: Convert to fraction form
    312,389.85/468,487.73 = 112,684.29/x
  3. Step 3: Cross multiply
    312,389.85x = 468,487.73 × 112,684.29
  4. Step 4: Simplify right side
    312,389.85x = 52,791,206,665.34
  5. Step 5: Solve for x
    x = 52,791,206,665.34/312,389.85
  6. Step 6: Final answer
    x = 168,991.43

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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.