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Finding the Fourth Proportional to 514,139.40, 769,896.90 and 409,163.40

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Solution

The fourth proportional to 514,139.40, 769,896.90 and 409,163.40 is: 612,700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,139.40 : 769,896.90 = 409,163.40 : x
  2. Step 2: Convert to fraction form
    514,139.40/769,896.90 = 409,163.40/x
  3. Step 3: Cross multiply
    514,139.40x = 769,896.90 × 409,163.40
  4. Step 4: Simplify right side
    514,139.40x = 315,013,633,253.46
  5. Step 5: Solve for x
    x = 315,013,633,253.46/514,139.40
  6. Step 6: Final answer
    x = 612,700.82

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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.