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Finding the Fourth Proportional to 414,612.38, 622,050.06 and 148,367

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Solution

The fourth proportional to 414,612.38, 622,050.06 and 148,367 is: 222,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,612.38 : 622,050.06 = 148,367 : x
  2. Step 2: Convert to fraction form
    414,612.38/622,050.06 = 148,367/x
  3. Step 3: Cross multiply
    414,612.38x = 622,050.06 × 148,367
  4. Step 4: Simplify right side
    414,612.38x = 92,291,701,252.02
  5. Step 5: Solve for x
    x = 92,291,701,252.02/414,612.38
  6. Step 6: Final answer
    x = 222,597.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.