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Finding the Fourth Proportional to 355,497.20, 533,476.20 and 205,737.20

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Solution

The fourth proportional to 355,497.20, 533,476.20 and 205,737.20 is: 308,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,497.20 : 533,476.20 = 205,737.20 : x
  2. Step 2: Convert to fraction form
    355,497.20/533,476.20 = 205,737.20/x
  3. Step 3: Cross multiply
    355,497.20x = 533,476.20 × 205,737.20
  4. Step 4: Simplify right side
    355,497.20x = 109,755,899,654.64
  5. Step 5: Solve for x
    x = 109,755,899,654.64/355,497.20
  6. Step 6: Final answer
    x = 308,739.14

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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.