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Finding the Fourth Proportional to 434,822.88, 599,243.04 and 339,178.08

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Solution

The fourth proportional to 434,822.88, 599,243.04 and 339,178.08 is: 467,431.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,822.88 : 599,243.04 = 339,178.08 : x
  2. Step 2: Convert to fraction form
    434,822.88/599,243.04 = 339,178.08/x
  3. Step 3: Cross multiply
    434,822.88x = 599,243.04 × 339,178.08
  4. Step 4: Simplify right side
    434,822.88x = 203,250,103,760.56
  5. Step 5: Solve for x
    x = 203,250,103,760.56/434,822.88
  6. Step 6: Final answer
    x = 467,431.94

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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.