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Finding the Fourth Proportional to 414,232.94, 622,519.46 and 245,784.93

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Solution

The fourth proportional to 414,232.94, 622,519.46 and 245,784.93 is: 369,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,232.94 : 622,519.46 = 245,784.93 : x
  2. Step 2: Convert to fraction form
    414,232.94/622,519.46 = 245,784.93/x
  3. Step 3: Cross multiply
    414,232.94x = 622,519.46 × 245,784.93
  4. Step 4: Simplify right side
    414,232.94x = 153,005,900,670.81
  5. Step 5: Solve for x
    x = 153,005,900,670.81/414,232.94
  6. Step 6: Final answer
    x = 369,371.65

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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.