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Finding the Fourth Proportional to 461,202.40, 692,192.40 and 224,747.20

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Solution

The fourth proportional to 461,202.40, 692,192.40 and 224,747.20 is: 337,310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,202.40 : 692,192.40 = 224,747.20 : x
  2. Step 2: Convert to fraction form
    461,202.40/692,192.40 = 224,747.20/x
  3. Step 3: Cross multiply
    461,202.40x = 692,192.40 × 224,747.20
  4. Step 4: Simplify right side
    461,202.40x = 155,568,303,761.28
  5. Step 5: Solve for x
    x = 155,568,303,761.28/461,202.40
  6. Step 6: Final answer
    x = 337,310.26

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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.