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Finding the Fourth Proportional to 494,472.41, 740,748.91 and 364,405

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Solution

The fourth proportional to 494,472.41, 740,748.91 and 364,405 is: 545,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,472.41 : 740,748.91 = 364,405 : x
  2. Step 2: Convert to fraction form
    494,472.41/740,748.91 = 364,405/x
  3. Step 3: Cross multiply
    494,472.41x = 740,748.91 × 364,405
  4. Step 4: Simplify right side
    494,472.41x = 269,932,606,548.55
  5. Step 5: Solve for x
    x = 269,932,606,548.55/494,472.41
  6. Step 6: Final answer
    x = 545,900.24

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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.