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Finding the Fourth Proportional to 494,475.41, 740,753.41 and 364,408

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Solution

The fourth proportional to 494,475.41, 740,753.41 and 364,408 is: 545,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,475.41 : 740,753.41 = 364,408 : x
  2. Step 2: Convert to fraction form
    494,475.41/740,753.41 = 364,408/x
  3. Step 3: Cross multiply
    494,475.41x = 740,753.41 × 364,408
  4. Step 4: Simplify right side
    494,475.41x = 269,936,468,631.28
  5. Step 5: Solve for x
    x = 269,936,468,631.28/494,475.41
  6. Step 6: Final answer
    x = 545,904.74

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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.