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Finding the Fourth Proportional to 565,047.23, 779,899.70 and 323,469.41

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Solution

The fourth proportional to 565,047.23, 779,899.70 and 323,469.41 is: 446,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,047.23 : 779,899.70 = 323,469.41 : x
  2. Step 2: Convert to fraction form
    565,047.23/779,899.70 = 323,469.41/x
  3. Step 3: Cross multiply
    565,047.23x = 779,899.70 × 323,469.41
  4. Step 4: Simplify right side
    565,047.23x = 252,273,694,200.83
  5. Step 5: Solve for x
    x = 252,273,694,200.83/565,047.23
  6. Step 6: Final answer
    x = 446,464.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.