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Finding the Fourth Proportional to 309,792.80, 463,940.70 and 176,268.56

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Solution

The fourth proportional to 309,792.80, 463,940.70 and 176,268.56 is: 263,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,792.80 : 463,940.70 = 176,268.56 : x
  2. Step 2: Convert to fraction form
    309,792.80/463,940.70 = 176,268.56/x
  3. Step 3: Cross multiply
    309,792.80x = 463,940.70 × 176,268.56
  4. Step 4: Simplify right side
    309,792.80x = 81,778,159,114.39
  5. Step 5: Solve for x
    x = 81,778,159,114.39/309,792.80
  6. Step 6: Final answer
    x = 263,976.95

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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.