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Finding the Fourth Proportional to 414,802.36, 622,332.72 and 148,565.18

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Solution

The fourth proportional to 414,802.36, 622,332.72 and 148,565.18 is: 222,894.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,802.36 : 622,332.72 = 148,565.18 : x
  2. Step 2: Convert to fraction form
    414,802.36/622,332.72 = 148,565.18/x
  3. Step 3: Cross multiply
    414,802.36x = 622,332.72 × 148,565.18
  4. Step 4: Simplify right side
    414,802.36x = 92,456,970,639.44
  5. Step 5: Solve for x
    x = 92,456,970,639.44/414,802.36
  6. Step 6: Final answer
    x = 222,894.04

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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.