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Finding the Fourth Proportional to 562,954.12, 844,430.94 and 142,229.88

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Solution

The fourth proportional to 562,954.12, 844,430.94 and 142,229.88 is: 213,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,954.12 : 844,430.94 = 142,229.88 : x
  2. Step 2: Convert to fraction form
    562,954.12/844,430.94 = 142,229.88/x
  3. Step 3: Cross multiply
    562,954.12x = 844,430.94 × 142,229.88
  4. Step 4: Simplify right side
    562,954.12x = 120,103,311,264.49
  5. Step 5: Solve for x
    x = 120,103,311,264.49/562,954.12
  6. Step 6: Final answer
    x = 213,344.76

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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.