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Finding the Fourth Proportional to 557,549.56, 769,736.70 and 367,115.80

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Solution

The fourth proportional to 557,549.56, 769,736.70 and 367,115.80 is: 506,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,549.56 : 769,736.70 = 367,115.80 : x
  2. Step 2: Convert to fraction form
    557,549.56/769,736.70 = 367,115.80/x
  3. Step 3: Cross multiply
    557,549.56x = 769,736.70 × 367,115.80
  4. Step 4: Simplify right side
    557,549.56x = 282,582,504,409.86
  5. Step 5: Solve for x
    x = 282,582,504,409.86/557,549.56
  6. Step 6: Final answer
    x = 506,829.39

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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.