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Finding the Fourth Proportional to 308,916.87, 463,443.23 and 175,859.43

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Solution

The fourth proportional to 308,916.87, 463,443.23 and 175,859.43 is: 263,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,916.87 : 463,443.23 = 175,859.43 : x
  2. Step 2: Convert to fraction form
    308,916.87/463,443.23 = 175,859.43/x
  3. Step 3: Cross multiply
    308,916.87x = 463,443.23 × 175,859.43
  4. Step 4: Simplify right side
    308,916.87x = 81,500,861,385.86
  5. Step 5: Solve for x
    x = 81,500,861,385.86/308,916.87
  6. Step 6: Final answer
    x = 263,827.81

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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.