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Finding the Fourth Proportional to 434,805.52, 651,997.68 and 254,940.16

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Solution

The fourth proportional to 434,805.52, 651,997.68 and 254,940.16 is: 382,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,805.52 : 651,997.68 = 254,940.16 : x
  2. Step 2: Convert to fraction form
    434,805.52/651,997.68 = 254,940.16/x
  3. Step 3: Cross multiply
    434,805.52x = 651,997.68 × 254,940.16
  4. Step 4: Simplify right side
    434,805.52x = 166,220,392,858.83
  5. Step 5: Solve for x
    x = 166,220,392,858.83/434,805.52
  6. Step 6: Final answer
    x = 382,286.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.