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Finding the Fourth Proportional to 558,146, 837,219 and 164,162

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Solution

The fourth proportional to 558,146, 837,219 and 164,162 is: 246,243

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,146 : 837,219 = 164,162 : x
  2. Step 2: Convert to fraction form
    558,146/837,219 = 164,162/x
  3. Step 3: Cross multiply
    558,146x = 837,219 × 164,162
  4. Step 4: Simplify right side
    558,146x = 137,439,545,478
  5. Step 5: Solve for x
    x = 137,439,545,478/558,146
  6. Step 6: Final answer
    x = 246,243

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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.