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Finding the Fourth Proportional to 599,464.46, 827,221.28 and 341,367.75

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Solution

The fourth proportional to 599,464.46, 827,221.28 and 341,367.75 is: 471,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,464.46 : 827,221.28 = 341,367.75 : x
  2. Step 2: Convert to fraction form
    599,464.46/827,221.28 = 341,367.75/x
  3. Step 3: Cross multiply
    599,464.46x = 827,221.28 × 341,367.75
  4. Step 4: Simplify right side
    599,464.46x = 282,386,665,398.88
  5. Step 5: Solve for x
    x = 282,386,665,398.88/599,464.46
  6. Step 6: Final answer
    x = 471,064.90

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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.