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Finding the Fourth Proportional to 468,174.87, 646,084.33 and 274,543.16

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Solution

The fourth proportional to 468,174.87, 646,084.33 and 274,543.16 is: 378,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,174.87 : 646,084.33 = 274,543.16 : x
  2. Step 2: Convert to fraction form
    468,174.87/646,084.33 = 274,543.16/x
  3. Step 3: Cross multiply
    468,174.87x = 646,084.33 × 274,543.16
  4. Step 4: Simplify right side
    468,174.87x = 177,378,029,667.90
  5. Step 5: Solve for x
    x = 177,378,029,667.90/468,174.87
  6. Step 6: Final answer
    x = 378,871.32

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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.