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Finding the Fourth Proportional to 308,843.20, 463,264.80 and 288,107.20

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Solution

The fourth proportional to 308,843.20, 463,264.80 and 288,107.20 is: 432,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,843.20 : 463,264.80 = 288,107.20 : x
  2. Step 2: Convert to fraction form
    308,843.20/463,264.80 = 288,107.20/x
  3. Step 3: Cross multiply
    308,843.20x = 463,264.80 × 288,107.20
  4. Step 4: Simplify right side
    308,843.20x = 133,469,924,386.56
  5. Step 5: Solve for x
    x = 133,469,924,386.56/308,843.20
  6. Step 6: Final answer
    x = 432,160.80

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1.5x scale

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.