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Finding the Fourth Proportional to 413,823.40, 620,735.10 and 224,866.60

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Solution

The fourth proportional to 413,823.40, 620,735.10 and 224,866.60 is: 337,299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,823.40 : 620,735.10 = 224,866.60 : x
  2. Step 2: Convert to fraction form
    413,823.40/620,735.10 = 224,866.60/x
  3. Step 3: Cross multiply
    413,823.40x = 620,735.10 × 224,866.60
  4. Step 4: Simplify right side
    413,823.40x = 139,582,591,437.66
  5. Step 5: Solve for x
    x = 139,582,591,437.66/413,823.40
  6. Step 6: Final answer
    x = 337,299.90

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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.