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Finding the Fourth Proportional to 494,893.40, 742,339.82 and 179,349.80

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Solution

The fourth proportional to 494,893.40, 742,339.82 and 179,349.80 is: 269,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,893.40 : 742,339.82 = 179,349.80 : x
  2. Step 2: Convert to fraction form
    494,893.40/742,339.82 = 179,349.80/x
  3. Step 3: Cross multiply
    494,893.40x = 742,339.82 × 179,349.80
  4. Step 4: Simplify right side
    494,893.40x = 133,138,494,985.71
  5. Step 5: Solve for x
    x = 133,138,494,985.71/494,893.40
  6. Step 6: Final answer
    x = 269,024.59

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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.