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Finding the Fourth Proportional to 274,644.20, 411,966.30 and 199,411.40

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Solution

The fourth proportional to 274,644.20, 411,966.30 and 199,411.40 is: 299,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,644.20 : 411,966.30 = 199,411.40 : x
  2. Step 2: Convert to fraction form
    274,644.20/411,966.30 = 199,411.40/x
  3. Step 3: Cross multiply
    274,644.20x = 411,966.30 × 199,411.40
  4. Step 4: Simplify right side
    274,644.20x = 82,150,776,635.82
  5. Step 5: Solve for x
    x = 82,150,776,635.82/274,644.20
  6. Step 6: Final answer
    x = 299,117.10

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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.