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Finding the Fourth Proportional to 274,938.92, 412,441.32 and 97,409.60

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Solution

The fourth proportional to 274,938.92, 412,441.32 and 97,409.60 is: 146,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,938.92 : 412,441.32 = 97,409.60 : x
  2. Step 2: Convert to fraction form
    274,938.92/412,441.32 = 97,409.60/x
  3. Step 3: Cross multiply
    274,938.92x = 412,441.32 × 97,409.60
  4. Step 4: Simplify right side
    274,938.92x = 40,175,744,004.67
  5. Step 5: Solve for x
    x = 40,175,744,004.67/274,938.92
  6. Step 6: Final answer
    x = 146,126.07

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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.