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Finding the Fourth Proportional to 308,149.95, 462,224.95 and 201,623.41

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Solution

The fourth proportional to 308,149.95, 462,224.95 and 201,623.41 is: 302,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,149.95 : 462,224.95 = 201,623.41 : x
  2. Step 2: Convert to fraction form
    308,149.95/462,224.95 = 201,623.41/x
  3. Step 3: Cross multiply
    308,149.95x = 462,224.95 × 201,623.41
  4. Step 4: Simplify right side
    308,149.95x = 93,195,370,679.80
  5. Step 5: Solve for x
    x = 93,195,370,679.80/308,149.95
  6. Step 6: Final answer
    x = 302,435.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.