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Finding the Fourth Proportional to 599,584.56, 827,473.86 and 341,472.42

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Solution

The fourth proportional to 599,584.56, 827,473.86 and 341,472.42 is: 471,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,584.56 : 827,473.86 = 341,472.42 : x
  2. Step 2: Convert to fraction form
    599,584.56/827,473.86 = 341,472.42/x
  3. Step 3: Cross multiply
    599,584.56x = 827,473.86 × 341,472.42
  4. Step 4: Simplify right side
    599,584.56x = 282,559,501,460.94
  5. Step 5: Solve for x
    x = 282,559,501,460.94/599,584.56
  6. Step 6: Final answer
    x = 471,258.80

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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.