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Finding the Fourth Proportional to 494,810.20, 742,215.30 and 295,355.80

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Solution

The fourth proportional to 494,810.20, 742,215.30 and 295,355.80 is: 443,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,810.20 : 742,215.30 = 295,355.80 : x
  2. Step 2: Convert to fraction form
    494,810.20/742,215.30 = 295,355.80/x
  3. Step 3: Cross multiply
    494,810.20x = 742,215.30 × 295,355.80
  4. Step 4: Simplify right side
    494,810.20x = 219,217,593,703.74
  5. Step 5: Solve for x
    x = 219,217,593,703.74/494,810.20
  6. Step 6: Final answer
    x = 443,033.70

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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.