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Finding the Fourth Proportional to 414,732.10, 622,340.10 and 174,831.42

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Solution

The fourth proportional to 414,732.10, 622,340.10 and 174,831.42 is: 262,349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,732.10 : 622,340.10 = 174,831.42 : x
  2. Step 2: Convert to fraction form
    414,732.10/622,340.10 = 174,831.42/x
  3. Step 3: Cross multiply
    414,732.10x = 622,340.10 × 174,831.42
  4. Step 4: Simplify right side
    414,732.10x = 108,804,603,405.94
  5. Step 5: Solve for x
    x = 108,804,603,405.94/414,732.10
  6. Step 6: Final answer
    x = 262,349.12

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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.