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Finding the Fourth Proportional to 535,736.52, 803,604.78 and 254,400.84

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Solution

The fourth proportional to 535,736.52, 803,604.78 and 254,400.84 is: 381,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,736.52 : 803,604.78 = 254,400.84 : x
  2. Step 2: Convert to fraction form
    535,736.52/803,604.78 = 254,400.84/x
  3. Step 3: Cross multiply
    535,736.52x = 803,604.78 × 254,400.84
  4. Step 4: Simplify right side
    535,736.52x = 204,437,731,060.02
  5. Step 5: Solve for x
    x = 204,437,731,060.02/535,736.52
  6. Step 6: Final answer
    x = 381,601.26

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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.