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Finding the Fourth Proportional to 410,022.20, 615,033.30 and 251,737.40

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Solution

The fourth proportional to 410,022.20, 615,033.30 and 251,737.40 is: 377,606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,022.20 : 615,033.30 = 251,737.40 : x
  2. Step 2: Convert to fraction form
    410,022.20/615,033.30 = 251,737.40/x
  3. Step 3: Cross multiply
    410,022.20x = 615,033.30 × 251,737.40
  4. Step 4: Simplify right side
    410,022.20x = 154,826,883,855.42
  5. Step 5: Solve for x
    x = 154,826,883,855.42/410,022.20
  6. Step 6: Final answer
    x = 377,606.10

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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.