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Finding the Fourth Proportional to 599,853.12, 827,887.44 and 345,155.10

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Solution

The fourth proportional to 599,853.12, 827,887.44 and 345,155.10 is: 476,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,853.12 : 827,887.44 = 345,155.10 : x
  2. Step 2: Convert to fraction form
    599,853.12/827,887.44 = 345,155.10/x
  3. Step 3: Cross multiply
    599,853.12x = 827,887.44 × 345,155.10
  4. Step 4: Simplify right side
    599,853.12x = 285,749,572,141.94
  5. Step 5: Solve for x
    x = 285,749,572,141.94/599,853.12
  6. Step 6: Final answer
    x = 476,365.90

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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.