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Finding the Fourth Proportional to 484,219.80, 726,329.70 and 188,731.80

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Solution

The fourth proportional to 484,219.80, 726,329.70 and 188,731.80 is: 283,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,219.80 : 726,329.70 = 188,731.80 : x
  2. Step 2: Convert to fraction form
    484,219.80/726,329.70 = 188,731.80/x
  3. Step 3: Cross multiply
    484,219.80x = 726,329.70 × 188,731.80
  4. Step 4: Simplify right side
    484,219.80x = 137,081,511,674.46
  5. Step 5: Solve for x
    x = 137,081,511,674.46/484,219.80
  6. Step 6: Final answer
    x = 283,097.70

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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.