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Finding the Fourth Proportional to 558,144, 837,216 and 164,160

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Solution

The fourth proportional to 558,144, 837,216 and 164,160 is: 246,240

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,144 : 837,216 = 164,160 : x
  2. Step 2: Convert to fraction form
    558,144/837,216 = 164,160/x
  3. Step 3: Cross multiply
    558,144x = 837,216 × 164,160
  4. Step 4: Simplify right side
    558,144x = 137,437,378,560
  5. Step 5: Solve for x
    x = 137,437,378,560/558,144
  6. Step 6: Final answer
    x = 246,240

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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.