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Finding the Fourth Proportional to 415,102.40, 622,653.60 and 378,360.80

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Solution

The fourth proportional to 415,102.40, 622,653.60 and 378,360.80 is: 567,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,102.40 : 622,653.60 = 378,360.80 : x
  2. Step 2: Convert to fraction form
    415,102.40/622,653.60 = 378,360.80/x
  3. Step 3: Cross multiply
    415,102.40x = 622,653.60 × 378,360.80
  4. Step 4: Simplify right side
    415,102.40x = 235,587,714,218.88
  5. Step 5: Solve for x
    x = 235,587,714,218.88/415,102.40
  6. Step 6: Final answer
    x = 567,541.20

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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.