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Finding the Fourth Proportional to 300,691.06, 414,796.34 and 185,933.03

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Solution

The fourth proportional to 300,691.06, 414,796.34 and 185,933.03 is: 256,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,691.06 : 414,796.34 = 185,933.03 : x
  2. Step 2: Convert to fraction form
    300,691.06/414,796.34 = 185,933.03/x
  3. Step 3: Cross multiply
    300,691.06x = 414,796.34 × 185,933.03
  4. Step 4: Simplify right side
    300,691.06x = 77,124,338,719.96
  5. Step 5: Solve for x
    x = 77,124,338,719.96/300,691.06
  6. Step 6: Final answer
    x = 256,490.30

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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.