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Finding the Fourth Proportional to 414,060.06, 621,018.06 and 133,577.31

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Solution

The fourth proportional to 414,060.06, 621,018.06 and 133,577.31 is: 200,342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,060.06 : 621,018.06 = 133,577.31 : x
  2. Step 2: Convert to fraction form
    414,060.06/621,018.06 = 133,577.31/x
  3. Step 3: Cross multiply
    414,060.06x = 621,018.06 × 133,577.31
  4. Step 4: Simplify right side
    414,060.06x = 82,953,923,744.12
  5. Step 5: Solve for x
    x = 82,953,923,744.12/414,060.06
  6. Step 6: Final answer
    x = 200,342.73

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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.