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Finding the Fourth Proportional to 415,286.32, 622,415.53 and 295,151.80

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Solution

The fourth proportional to 415,286.32, 622,415.53 and 295,151.80 is: 442,362.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,286.32 : 622,415.53 = 295,151.80 : x
  2. Step 2: Convert to fraction form
    415,286.32/622,415.53 = 295,151.80/x
  3. Step 3: Cross multiply
    415,286.32x = 622,415.53 × 295,151.80
  4. Step 4: Simplify right side
    415,286.32x = 183,707,064,027.45
  5. Step 5: Solve for x
    x = 183,707,064,027.45/415,286.32
  6. Step 6: Final answer
    x = 442,362.43

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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.