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Finding the Fourth Proportional to 357,761.44, 493,603.02 and 214,469.20

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Solution

The fourth proportional to 357,761.44, 493,603.02 and 214,469.20 is: 295,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,761.44 : 493,603.02 = 214,469.20 : x
  2. Step 2: Convert to fraction form
    357,761.44/493,603.02 = 214,469.20/x
  3. Step 3: Cross multiply
    357,761.44x = 493,603.02 × 214,469.20
  4. Step 4: Simplify right side
    357,761.44x = 105,862,644,816.98
  5. Step 5: Solve for x
    x = 105,862,644,816.98/357,761.44
  6. Step 6: Final answer
    x = 295,902.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.