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Finding the Fourth Proportional to 471,125.43, 706,402.75 and 211,415.41

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Solution

The fourth proportional to 471,125.43, 706,402.75 and 211,415.41 is: 316,995.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,125.43 : 706,402.75 = 211,415.41 : x
  2. Step 2: Convert to fraction form
    471,125.43/706,402.75 = 211,415.41/x
  3. Step 3: Cross multiply
    471,125.43x = 706,402.75 × 211,415.41
  4. Step 4: Simplify right side
    471,125.43x = 149,344,424,721.83
  5. Step 5: Solve for x
    x = 149,344,424,721.83/471,125.43
  6. Step 6: Final answer
    x = 316,995.04

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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.