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Finding the Fourth Proportional to 308,973.43, 462,915.06 and 270,594.46

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Solution

The fourth proportional to 308,973.43, 462,915.06 and 270,594.46 is: 405,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,973.43 : 462,915.06 = 270,594.46 : x
  2. Step 2: Convert to fraction form
    308,973.43/462,915.06 = 270,594.46/x
  3. Step 3: Cross multiply
    308,973.43x = 462,915.06 × 270,594.46
  4. Step 4: Simplify right side
    308,973.43x = 125,262,250,686.57
  5. Step 5: Solve for x
    x = 125,262,250,686.57/308,973.43
  6. Step 6: Final answer
    x = 405,414.31

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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.