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Finding the Fourth Proportional to 308,134.80, 462,893.40 and 296,384.40

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Solution

The fourth proportional to 308,134.80, 462,893.40 and 296,384.40 is: 445,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,134.80 : 462,893.40 = 296,384.40 : x
  2. Step 2: Convert to fraction form
    308,134.80/462,893.40 = 296,384.40/x
  3. Step 3: Cross multiply
    308,134.80x = 462,893.40 × 296,384.40
  4. Step 4: Simplify right side
    308,134.80x = 137,194,382,622.96
  5. Step 5: Solve for x
    x = 137,194,382,622.96/308,134.80
  6. Step 6: Final answer
    x = 445,241.44

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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.