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Finding the Fourth Proportional to 308,998.10, 463,177.60 and 175,591.10

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Solution

The fourth proportional to 308,998.10, 463,177.60 and 175,591.10 is: 263,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,998.10 : 463,177.60 = 175,591.10 : x
  2. Step 2: Convert to fraction form
    308,998.10/463,177.60 = 175,591.10/x
  3. Step 3: Cross multiply
    308,998.10x = 463,177.60 × 175,591.10
  4. Step 4: Simplify right side
    308,998.10x = 81,329,864,279.36
  5. Step 5: Solve for x
    x = 81,329,864,279.36/308,998.10
  6. Step 6: Final answer
    x = 263,205.06

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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.