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Finding the Fourth Proportional to 299,090.97, 412,730.94 and 178,229.55

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Solution

The fourth proportional to 299,090.97, 412,730.94 and 178,229.55 is: 245,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,090.97 : 412,730.94 = 178,229.55 : x
  2. Step 2: Convert to fraction form
    299,090.97/412,730.94 = 178,229.55/x
  3. Step 3: Cross multiply
    299,090.97x = 412,730.94 × 178,229.55
  4. Step 4: Simplify right side
    299,090.97x = 73,560,849,707.28
  5. Step 5: Solve for x
    x = 73,560,849,707.28/299,090.97
  6. Step 6: Final answer
    x = 245,948.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.