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Finding the Fourth Proportional to 224,829.20, 337,243.80 and 214,461.20

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Solution

The fourth proportional to 224,829.20, 337,243.80 and 214,461.20 is: 321,691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,829.20 : 337,243.80 = 214,461.20 : x
  2. Step 2: Convert to fraction form
    224,829.20/337,243.80 = 214,461.20/x
  3. Step 3: Cross multiply
    224,829.20x = 337,243.80 × 214,461.20
  4. Step 4: Simplify right side
    224,829.20x = 72,325,710,040.56
  5. Step 5: Solve for x
    x = 72,325,710,040.56/224,829.20
  6. Step 6: Final answer
    x = 321,691.80

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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.