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Finding the Fourth Proportional to 308,602.06, 462,482.70 and 188,701

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Solution

The fourth proportional to 308,602.06, 462,482.70 and 188,701 is: 282,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,602.06 : 462,482.70 = 188,701 : x
  2. Step 2: Convert to fraction form
    308,602.06/462,482.70 = 188,701/x
  3. Step 3: Cross multiply
    308,602.06x = 462,482.70 × 188,701
  4. Step 4: Simplify right side
    308,602.06x = 87,270,947,972.70
  5. Step 5: Solve for x
    x = 87,270,947,972.70/308,602.06
  6. Step 6: Final answer
    x = 282,794.44

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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.