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Finding the Fourth Proportional to 415,006.20, 622,509.30 and 379,576.80

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Solution

The fourth proportional to 415,006.20, 622,509.30 and 379,576.80 is: 569,365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,006.20 : 622,509.30 = 379,576.80 : x
  2. Step 2: Convert to fraction form
    415,006.20/622,509.30 = 379,576.80/x
  3. Step 3: Cross multiply
    415,006.20x = 622,509.30 × 379,576.80
  4. Step 4: Simplify right side
    415,006.20x = 236,290,088,064.24
  5. Step 5: Solve for x
    x = 236,290,088,064.24/415,006.20
  6. Step 6: Final answer
    x = 569,365.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.