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Finding the Fourth Proportional to 482,638.10, 724,216.35 and 202,183.70

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Solution

The fourth proportional to 482,638.10, 724,216.35 and 202,183.70 is: 303,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,638.10 : 724,216.35 = 202,183.70 : x
  2. Step 2: Convert to fraction form
    482,638.10/724,216.35 = 202,183.70/x
  3. Step 3: Cross multiply
    482,638.10x = 724,216.35 × 202,183.70
  4. Step 4: Simplify right side
    482,638.10x = 146,424,741,243.50
  5. Step 5: Solve for x
    x = 146,424,741,243.50/482,638.10
  6. Step 6: Final answer
    x = 303,384.13

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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.