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Finding the Fourth Proportional to 415,029.20, 622,543.80 and 415,029.20

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Solution

The fourth proportional to 415,029.20, 622,543.80 and 415,029.20 is: 622,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,029.20 : 622,543.80 = 415,029.20 : x
  2. Step 2: Convert to fraction form
    415,029.20/622,543.80 = 415,029.20/x
  3. Step 3: Cross multiply
    415,029.20x = 622,543.80 × 415,029.20
  4. Step 4: Simplify right side
    415,029.20x = 258,373,855,278.96
  5. Step 5: Solve for x
    x = 258,373,855,278.96/415,029.20
  6. Step 6: Final answer
    x = 622,543.80

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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.