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Finding the Fourth Proportional to 415,360.20, 622,118.70 and 165,913.80

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Solution

The fourth proportional to 415,360.20, 622,118.70 and 165,913.80 is: 248,502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,360.20 : 622,118.70 = 165,913.80 : x
  2. Step 2: Convert to fraction form
    415,360.20/622,118.70 = 165,913.80/x
  3. Step 3: Cross multiply
    415,360.20x = 622,118.70 × 165,913.80
  4. Step 4: Simplify right side
    415,360.20x = 103,218,077,568.06
  5. Step 5: Solve for x
    x = 103,218,077,568.06/415,360.20
  6. Step 6: Final answer
    x = 248,502.57

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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.