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Finding the Fourth Proportional to 299,236.58, 412,886.31 and 190,384.12

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Solution

The fourth proportional to 299,236.58, 412,886.31 and 190,384.12 is: 262,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,236.58 : 412,886.31 = 190,384.12 : x
  2. Step 2: Convert to fraction form
    299,236.58/412,886.31 = 190,384.12/x
  3. Step 3: Cross multiply
    299,236.58x = 412,886.31 × 190,384.12
  4. Step 4: Simplify right side
    299,236.58x = 78,606,997,662.48
  5. Step 5: Solve for x
    x = 78,606,997,662.48/299,236.58
  6. Step 6: Final answer
    x = 262,691.81

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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.