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Finding the Fourth Proportional to 521,861.46, 782,545.46 and 202,163.06

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Solution

The fourth proportional to 521,861.46, 782,545.46 and 202,163.06 is: 303,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,861.46 : 782,545.46 = 202,163.06 : x
  2. Step 2: Convert to fraction form
    521,861.46/782,545.46 = 202,163.06/x
  3. Step 3: Cross multiply
    521,861.46x = 782,545.46 × 202,163.06
  4. Step 4: Simplify right side
    521,861.46x = 158,201,784,782.71
  5. Step 5: Solve for x
    x = 158,201,784,782.71/521,861.46
  6. Step 6: Final answer
    x = 303,149.01

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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.