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Finding the Fourth Proportional to 514,163.70, 772,427.97 and 362,709.36

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Solution

The fourth proportional to 514,163.70, 772,427.97 and 362,709.36 is: 544,898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,163.70 : 772,427.97 = 362,709.36 : x
  2. Step 2: Convert to fraction form
    514,163.70/772,427.97 = 362,709.36/x
  3. Step 3: Cross multiply
    514,163.70x = 772,427.97 × 362,709.36
  4. Step 4: Simplify right side
    514,163.70x = 280,166,854,644.80
  5. Step 5: Solve for x
    x = 280,166,854,644.80/514,163.70
  6. Step 6: Final answer
    x = 544,898.16

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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.