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Finding the Fourth Proportional to 588,170, 882,255 and 144,938

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Solution

The fourth proportional to 588,170, 882,255 and 144,938 is: 217,407

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,170 : 882,255 = 144,938 : x
  2. Step 2: Convert to fraction form
    588,170/882,255 = 144,938/x
  3. Step 3: Cross multiply
    588,170x = 882,255 × 144,938
  4. Step 4: Simplify right side
    588,170x = 127,872,275,190
  5. Step 5: Solve for x
    x = 127,872,275,190/588,170
  6. Step 6: Final answer
    x = 217,407

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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.