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Finding the Fourth Proportional to 537,158.30, 804,571.05 and 327,206.30

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Solution

The fourth proportional to 537,158.30, 804,571.05 and 327,206.30 is: 490,098.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,158.30 : 804,571.05 = 327,206.30 : x
  2. Step 2: Convert to fraction form
    537,158.30/804,571.05 = 327,206.30/x
  3. Step 3: Cross multiply
    537,158.30x = 804,571.05 × 327,206.30
  4. Step 4: Simplify right side
    537,158.30x = 263,260,716,357.62
  5. Step 5: Solve for x
    x = 263,260,716,357.62/537,158.30
  6. Step 6: Final answer
    x = 490,098.95

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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.