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Finding the Fourth Proportional to 362,911.29, 500,845.61 and 217,722.53

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Solution

The fourth proportional to 362,911.29, 500,845.61 and 217,722.53 is: 300,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,911.29 : 500,845.61 = 217,722.53 : x
  2. Step 2: Convert to fraction form
    362,911.29/500,845.61 = 217,722.53/x
  3. Step 3: Cross multiply
    362,911.29x = 500,845.61 × 217,722.53
  4. Step 4: Simplify right side
    362,911.29x = 109,045,369,755.75
  5. Step 5: Solve for x
    x = 109,045,369,755.75/362,911.29
  6. Step 6: Final answer
    x = 300,473.90

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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.