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Finding the Fourth Proportional to 415,096.40, 622,644.60 and 407,223.20

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Solution

The fourth proportional to 415,096.40, 622,644.60 and 407,223.20 is: 610,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,096.40 : 622,644.60 = 407,223.20 : x
  2. Step 2: Convert to fraction form
    415,096.40/622,644.60 = 407,223.20/x
  3. Step 3: Cross multiply
    415,096.40x = 622,644.60 × 407,223.20
  4. Step 4: Simplify right side
    415,096.40x = 253,555,326,474.72
  5. Step 5: Solve for x
    x = 253,555,326,474.72/415,096.40
  6. Step 6: Final answer
    x = 610,834.80

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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.