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Finding the Fourth Proportional to 414,777.58, 622,264.78 and 134,294.83

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Solution

The fourth proportional to 414,777.58, 622,264.78 and 134,294.83 is: 201,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,777.58 : 622,264.78 = 134,294.83 : x
  2. Step 2: Convert to fraction form
    414,777.58/622,264.78 = 134,294.83/x
  3. Step 3: Cross multiply
    414,777.58x = 622,264.78 × 134,294.83
  4. Step 4: Simplify right side
    414,777.58x = 83,566,941,457.29
  5. Step 5: Solve for x
    x = 83,566,941,457.29/414,777.58
  6. Step 6: Final answer
    x = 201,474.11

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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.