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Finding the Fourth Proportional to 308,097.20, 462,299.40 and 175,079.60

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Solution

The fourth proportional to 308,097.20, 462,299.40 and 175,079.60 is: 262,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,097.20 : 462,299.40 = 175,079.60 : x
  2. Step 2: Convert to fraction form
    308,097.20/462,299.40 = 175,079.60/x
  3. Step 3: Cross multiply
    308,097.20x = 462,299.40 × 175,079.60
  4. Step 4: Simplify right side
    308,097.20x = 80,939,194,032.24
  5. Step 5: Solve for x
    x = 80,939,194,032.24/308,097.20
  6. Step 6: Final answer
    x = 262,706.68

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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.