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Finding the Fourth Proportional to 414,729.72, 622,444.62 and 286,571.52

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Solution

The fourth proportional to 414,729.72, 622,444.62 and 286,571.52 is: 430,099.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,729.72 : 622,444.62 = 286,571.52 : x
  2. Step 2: Convert to fraction form
    414,729.72/622,444.62 = 286,571.52/x
  3. Step 3: Cross multiply
    414,729.72x = 622,444.62 × 286,571.52
  4. Step 4: Simplify right side
    414,729.72x = 178,374,900,869.22
  5. Step 5: Solve for x
    x = 178,374,900,869.22/414,729.72
  6. Step 6: Final answer
    x = 430,099.15

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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.